SOLUTION: please help me solve the equation 8w^2+6w-9

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Question 647578: please help me solve the equation 8w^2+6w-9
Found 2 solutions by aaronwiz, MathLover1:
Answer by aaronwiz(69) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, my name is Aaron I am in 10th grade and im in honors trig/pre-calc.
That is not an equation, that is a expression. But I assume it was a typo and you meant to say its all equal to zero. Their are 3 algebraic ways to solve this. Factoring is the easiest, but it takes a while to master.
It should factor to (4w-3)(2w+3)=0
so x=3/4 or -3/2
Hope I helped. I would really appreciate your recommendation, their are plenty of other things I could be doing rather then spending time on this site helping people. Good luck! :)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
8w%5E2%2B6w-9=0......replace 6w with -6w%2B12w
8w%5E2-6w%2B12w-9=0...group
%288w%5E2-6w%29%2B%2812w-9%29=0
2w%284w-3%29%2B3%284w-3%29=0
%284w-3%29%282w%2B3%29=0
solutions:
if %284w-3%29=0....->...4w=3->...w=3%2F4
if %282w%2B3%29=0....->...2w=-3->...w=-3%2F2

+graph%28+600%2C600%2C+-10%2C+10%2C+-12%2C+10%2C+8x%5E2%2B6x-9%29+