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

Question 464963: solve for x: 6x^2=23x-15
Found 2 solutions by Gogonati, edjones:
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
First we set the equation equal to zero:
. To solve the equation we use the quadratic formula:
. As you see we have
two solutions: and .
Answer by edjones(8007) (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
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