28 31x 5 x^2 = 0 ⇒ 5 x^2 + 31x 28 = 0 ⇒ 5 x^2 + 35x 4x 28 = 0 ⇒ 5x ( x + 7 ) 4 ( x + 7 ) = 0 ⇒( 5x 4 ) ( x + 7 ) = 0 ...

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Normal Form to Standard Form

Solve: 28-31...

Question

Solve:
$28 - 31 x - 5 x^{2} = 0$

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Solution

$28 - 31 x - 5 x^{2} = 0$

$\Rightarrow 5 x^{2} + 31 x - 28 = 0$

$\Rightarrow 5 x^{2} + 35 x - 4 x - 28 = 0$

$\Rightarrow 5 x (x + 7) - 4 (x + 7) = 0$

$\Rightarrow (5 x - 4) (x + 7) = 0$

$\Rightarrow 5 x - 4 = 0$ OR $x + 7 = 0$

$\Rightarrow x = \frac{4}{5}$ OR $x = - 7$

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