Question
Solve the following quadratic equation by factorisation:
$x^2 - 3x - 10 = 0$

Answer

$x^2 - 3x - 10 = 0$
$\Rightarrow x^2- 5x + 2x - 10 = 0$
$\Rightarrow x(x - 5) + 2(x - 5) = 0$
$\Rightarrow (x - 5) (x + 2) = 0$
$\Rightarrow x - 5 = 0$ or $x + 2 = 0$
$⇒ x = 5$ and $x = -2$

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