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GCD of Polynomials

Solve the equ...

Question

Solve the equation by factorize method
$6 x^{2} - x - 2$

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Solution

Given equation is,
$6 x^{2} - x - 2 = 0$

$⟹ 6 x^{2} - 4 x + 3 x - 2 = 0$

$⟹ 2 x (3 x - 2) + 1 (3 x - 2) = 0$

$⟹ (3 x - 2) (2 x + 1) = 0$

$⟹ 3 x - 2 = 0$ or $2 x + 1 = 0$

$∴ x = \frac{2}{3}$ or $x = \frac{- 1}{2}$

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