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Quadratic Formula

Solve : 7y=-...

Question

Solve :
$7 y = - 3 y^{2} - 4$

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Solution

Given that,
$7 y = - 3 y^{2} - 4$

$⟹ 3 y^{2} + 7 y + 4 = 0$

$⟹ 3 y^{2} + 3 y + 4 y + 4 = 0$

$⟹ 3 y (y + 1) + 4 (y + 1) = 0$

$⟹ (3 y + 4) (y + 1) = 0$

$⟹ 3 y + 4 = 0$ or $y + 1 = 0$

$∴ y = \frac{- 4}{3}$ or $y = - 1$

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