SOLUTION: Use factoring to solve the equation 6x^2+23x-18=0

Question 442599: Use factoring to solve the equation
6x^2+23x-18=0
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Here's the trick:
Take the a term and multiply it by the c term. 6 * -18 = -108. List the factors of -108.
plus or minus
--------------
1 108
2 54
3 36
4 27
6 18
9 12
Is there any way to get -23 out of this?
yes, 4 - 27 gives us -23.
Thus we will have a 4x term and a -27x term.
so we can rewrite this as
Group the first two terms and last two terms and factor out the common factor.

Thus our factorization is
Set each factor equal to 0:
(2x-9) = 0 ---> 2x = 9 x =9/2
(3x+2) = 0 ---> 3x = -2 x = -2/3
So our two solutions are

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