Solve equation, given below, using factorisation method:

$x (x - 5) = 24$

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Solution

$x (x - 5) = 24 \Rightarrow x^{2} - 5 x - 24 = 0 \Rightarrow x^{2} - 8 x + 3 x - 24 = 0 \Rightarrow x (x - 8) + 3 (x - 8) = 0 \Rightarrow (x - 8) (x + 3) = 0 \Rightarrow x = 8 o r x = - 3$

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