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Use factoring to solve the quadratic equation Check by substitution or by} utility} using and 0 identifying graphing x-intercepts. 6x 116 = 0The solution set (Use ...

Question

Use factoring to solve the quadratic equation Check by substitution or by} utility} using and 0 identifying graphing x-intercepts. 6x 116 = 0The solution set (Use a comma to separate answers a5 needed Type repeated roots only once )

Use factoring to solve the quadratic equation Check by substitution or by} utility} using and 0 identifying graphing x-intercepts. 6x 116 = 0 The solution set (Use a comma to separate answers a5 needed Type repeated roots only once )



Answers

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying $x$ -intercepts.
$$ \frac{x^{2}}{4}-\frac{5 x}{2}+6=0 $$

In order to use factoring cassava quadratic equation. I need to have one side equals zero, which this one already does. That saves me a little bit of time. Then I have to factor what's left on the other side. In this particular case, I always look first for a greatest common factor. Both terms have an ex awaken factor out my common factor of X. You can always check that by distributing back and make sure it gives me the first line. Once I get to hear the only way to multiply to get zero, is it? At least one of the factors equals zero. So either X equals zero or the factor X minus six equals zero. I had six. Thank you for my second answer. So my solution said here would be zero for six. I can substitute back into the original to make sure that they work. Plugging in zero is easy to see. If I plug in if I substitute six in, I would get 36 minus six times six, which is 36 that would equal zero

To solve this quadratic equation. My first step is to make sure that one side is zero, which this is. Then I factor the resulting try no meal using whatever method eso for this. Try no meal. I'm going to factor this into to buy no meals. I need the combination to be three into toe. Add to be five and multiply to be six. Once I get to hear than each factor could be zero, either this could be zero or this could be zero. I need at least one of the factors to be zero. That's the only way to multiply to get zero. So I subtract three and I subtract to my final solution set would be that you can substitute them back into the original.

Her give any Christian is X multiplied by X plus eight equal to 16 multiplied by X minus one. Now we will simplify on both sides. X square plus eight x equal to 16 x minus 16. Now we will move all terms toe one side toe. Get zero on the other side. For that, we will subtract 16 eggs and add 16 on both sides so we can write it as X Square less eight x minus 16 x less 16 equal to 16 x minus 16. Minus 16 x less 16 Now we help on alleges side extra square minus eight X plus 16 equal to zero on other side. Now we will find out the factors off Exit Square minus eight X Place 16 here affect us our X minus four multiplied by X minus four equal to zero. Now we will set each factor equal to zero toe. Get X value so we can write it as X minus four equal to zero X equal to four. So now we will check the solution in the Arsenal equation. Hell X equal to four. So check wait X equal to four. Personal equation is X multiplied by Express eight on LH is on the other side 16 multiplied by X minus one. So first we will find out l hatches X is four multiplied by four place eight will get four multiplied by 12. So 48 on L Hedges. Now we will solve our hitches. So 16 multiplied by X minus one. We will replace X wait for so 16 multiplied by four minus one 16 multiplied by four minus one is three. Product off 16 and three is 48. So L hatch is equal to our hitches. That is 48 equal to 48. So our solution is true, so

When I use factoring to solve 1/4 of the equation. The first thing I look for is one side equal to zero, which this one already is. So it's already ready for the second step is the factor, the better I am. In fact, remember all my factoring, the easier that section will be. So if you're a little shaky on your factor and keep practicing, I always look for a greatest common factor. First, they both have an X as one of my. So each term has an ex. I'm going to take out that common factor of X leaves me with X Plus four. You can check that by distributing back, and it would give me what is in black. Once I have a product equals zero, then I know each factor could be zero. That's the only way to multiply to get zero. So what that means is either X zero or X plus four would be zero. If I subtract four here, that gives me my other answers. My solution set would be both values zero and negative four. If I substitute those back into the original, I put those in for X, so if I put zero in for X. It's easy to see that works. If I put negative four in Forex, let's do that one together. Negative four square would be positive. 16 plus four times negative for would be minus 16 and that would equal zero.


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