Question

f(x)=12x^2+18x-12
$f(x) = {12x}^{2} + 18x - 12$

Answer 1

Hope this helps.....

Answer 2

Given:-

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$\bf \implies f(x) = {12x}^{2} + 18x - 12$

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To Find:-

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$\bf \implies The \: Solution$

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STEP BY STEP EXPLANATION:-

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$\bf \implies f(x) = {12x}^{2} + 18x - 12 \\ \\ \bf \implies 0= {12x}^{2} + 18x - 12 \\ \\ \bf \implies {12x}^{2} + 18x - 12 = 0 \\ \\ \bf \implies {2x}^{2} + 3x - 2 = 0 \\ \\ \bf \implies {2x}^{2} + 4x - x - 2 = 0 \\ \\ \bf \implies {2x} \times (x + 2) - x - 2 = 0 \\ \\ \bf \implies {2x} \times (x + 2) - (x + 2) = 0 \\ \\ \bf \implies (x + 2) \times (2x - 1) = 0 \\ \\ \bf \implies x + 2 = 0 \: \: \: \: \: \: \: 2x - 1 = 0 \\ \\ \bf \implies x = - 2 \: \: \: \: \: \: \: 2x - 1 = 0 \\ \\ \bf \implies x = - 2 \: \: \: \: \: \: \: x = \frac{1}{2} \\ \\ \bf \implies x_1 = - 2 \: ,\: x_2 = \frac{1}{2}$