2 x^2 + 5x = 3 2 x^2 + 5x 3 = 0 ⇒ 2 x^2 + 6x x 3 = 0 ⇒ 2x ( x + 3 ) 1 ( x + 3 ) = 0 ⇒( x + 3 ) ( 2x 1 ) = 0 ⇒ 2x 1 = 0 ...

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Factorisation by Regrouping Terms

Solve: 2x2+5...

Question

Solve:
$2 x^{2} + 5 x = 3$

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Solution

$2 x^{2} + 5 x = 3$
$2 x^{2} + 5 x - 3 = 0$
$\Rightarrow 2 x^{2} + 6 x - x - 3 = 0$
$\Rightarrow 2 x (x + 3) - 1 (x + 3) = 0$
$\Rightarrow (x + 3) (2 x - 1) = 0$
$\Rightarrow 2 x - 1 = 0$ OR $x + 3 = 0$
$\Rightarrow x = \frac{1}{2}$ Or $x = - 3$

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