Solve the following equation by factoring 8x²-9x-14=0

Jon Gibbins asked Aug 15, 2023

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19 votes

Solve the following equation by factoring
8x²-9x-14=0

Jon Gibbins asked Aug 15, 2023

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9 votes

Answer:

$x = 2\\ \\x= -\frac 78$

Explanation:

$~~~~~~~8x^2 -9x -14=0\\\\\implies 8x^2+7x-16x-14=0\\\\\implies x(8x+7)-2(8x+7)=0\\\\\implies (x-2)(8x+7) = 0\\\\\implies x = 2,~ x= -\frac 78$

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