Question
Solve equation using factorisation method:
$x (x - 5) = 24$
$x (x - 5) = 24$
✓
Answer
$x (x - 5) = 24$
$\Rightarrow x^2 - 5x - 24 = 0$
$\Rightarrow x^2 - 8x + 3x - 24 = 0$
$\Rightarrow x (x - 8) + 3 (x - 8) = 0$
$\Rightarrow (x - 8) (x + 3) = 0$
since $x - 8 = 0$ or $x + 3 = 0$
then $x = 8$ or $x = -3$
$\Rightarrow x^2 - 5x - 24 = 0$
$\Rightarrow x^2 - 8x + 3x - 24 = 0$
$\Rightarrow x (x - 8) + 3 (x - 8) = 0$
$\Rightarrow (x - 8) (x + 3) = 0$
since $x - 8 = 0$ or $x + 3 = 0$
then $x = 8$ or $x = -3$
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