SOLUTION: solve for x: 6x^2=23x-15

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Question 464963: solve for x: 6x^2=23x-15
Found 2 solutions by Gogonati, edjones:
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
First we set the equation 6x%5E2=23x-15 equal to zero:
6x%5E2-23x%2B15=0. To solve the equation we use the quadratic formula:
x=%2823%2B-sqrt%2823%5E2-4%2A6%2A15%29%29%2F%282%2A6%29=+%2823%2B-sqrt%28169%29%29%2F12. As you see we have
two solutions:x=%2823%2B13%29%2F12=3 and x=%2823-13%29%2F12=10%2F12=5%2F6.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
6x^2=23x-15
6x^-23x+15=0
6*15=90; two factors of 90 whose sum is -23 are -18 and -5.
6x^2-18x-5x+15=0
6x(x-3)-5(x-3)=0 factoring by grouping.
(6x-5)(x-3)=0
x=5/6, x=3
.
Ed