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Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following quadratic equation by factorization.
$9 x^{2} - 3 x - 2 = 0$

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Solution

$9 x^{2} - 3 x - 2 = 0$
$9 x^{2} - 6 x + 3 x - 2 = 0$
$3 x (3 x - 2) + (3 x - 2) = 0$
$(3 x + 1) (3 x - 2) = 0$
$x = \frac{- 1}{3}, \frac{2}{3}$

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