You can put this solution on YOUR website! Solve by factoring and using the principle of zero products
9x^2 + 6x - 8 = 0
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9x^2+12x-6x-8 = 0
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3x(3x+4)-2(3x+4) = 0
(3x+4)(3x-2) = 0
x = -4/3 or x = 2/3
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Cheers,
Stan H.