Solve for $x$ :
$x^{2} + 21 x - 100 = 0$

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Solution

$x^{2} + 21 x - 100 = 0$

$x^{2} - 4 x + 25 x - 100 = 0$

$x (x - 4) + 25 (x - 4) = 0$

$(x - 4) (x + 25) = 0$

$∴ x = - 25, 4$

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