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Quadratic Equations

Solve x2+5=-...

Question

Solve
$x^{2} + 5 = - 6 x$

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Solution

$x^{2} + 5 = - 6 x$
$x^{2} + 6 x + 5 = 0$
$x^{2} + x + 5 x + 5 = 0$
$x (x + 1) + 5 (x + 1) = 0$
$(x + 1) (x + 5) = 0$
$x = - 1$ or $x = - 5$

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