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Exponents with like Bases

Solve the fol...

Question

Solve the following equations:
$x^{2} + 15 x - 54 = 0$

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Solution

Given $x^{2} + 15 x - 54 = 0$
$⟹ x^{2} + 18 x - 3 x - 54 = 0$
$⟹ x (x + 18) - 3 (x - 18) = 0$
$⟹ (x + 18) (x - 3) = 0$
$⟹ (x - 3) = 0, (x + 18) = 0$
So, $x = 3$ or $x = - 18$

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