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Solving a Quadratic Equation by Factorization Method

solve 2x 2 ...

Question

solve ${2 x}^{2} + 3 x - 90 = 0$

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Solution

Given $2 x^{2} + 3 x - 90 = 0$
$⟹ 2 x^{2} - 15 x + 12 x - 90 = 0$
$⟹ x (2 x - 15) + 6 (2 x - 15) = 0$
$⟹ (x + 6) (2 x - 15) = 0$
$⟹ x = - 6, \frac{15}{2}$

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