Question 232065: 15x^-13x-6 solving quadratic equations by factoring
Answer by Robb(9)   (Show Source):
You can put this solution on YOUR website! To factor this, it's trial and error, you just need to figure out which factors multiply and add together to give you your middle term (-13x)...
You factor 15x^2 and you get either (15x and 1x) or (3x and 5x)
You factor 6 and you get either (1 and 6) or (2 and 3)
So you use the same principle for trial and error with any numbers you go with. Just because I know the answer, let's go with the right ones off the bat. As long as you know that you can swap these numbers around several times until you get the desired outcome. This process gets harder with bigger numbers. So let's go:
(3x+1)(5x-6) is the right answer. Multiply this out and you get your original equation.
Just make sure you put the +/- signs or -/- or +/+ in the parenthesis to give you the positive or negative number you're looking for.
If you would like a more in depth explanation of solving equations by factoring, post another problem and just by seeing the right answer to equations over and over again, it will help tremendously in getting the hang of it. Your answer is:
(3x+1)(5x-6)
Hope this helps!
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