You can put this solution on YOUR website! 17x + 9 = 12x² + 14x - 6
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Group everything on the left
0 = 12x^2 + 14x - 17x - 6 - 9
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A quadratic equation:
12x^2 - 3x - 15 = 0
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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
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You can check the x=-1 solution in the same way
