# SOLUTION: Hello 17x+9 = 12x² + 14x-6 How would I simplify this to discover X's value Thank you

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 Question 155886: Hello 17x+9 = 12x² + 14x-6 How would I simplify this to discover X's value Thank you Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!17x + 9 = 12x² + 14x - 6 ; Group everything on the left 0 = 12x^2 + 14x - 17x - 6 - 9 : A quadratic equation: 12x^2 - 3x - 15 = 0 : Simplify, divide by 3: 4x^2 - x - 5 = 0 Factors to: (4x-5)(x+1) = 0 : 4x = 5 x = 5/4 x = 1.25 and x = -1 : : Check solution in original equation using x = 1.25 17(1.25) + 9 = 12(1.25^2) + 14(1.25) - 6 21.25 + 9 = 18.75 + 17.5 - 6 30.25 = 30.25 : You can check the x=-1 solution in the same way