x^2 + 5 = 6x ⇒x^2 + 6x + 5 = 0 ⇒x^2 + 5x + x + 5 = 0 ⇒( x + 5 ) ( x + 1 ) = 0 ⇒ x = 5 OR x = 1 ...

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Product Law

Solve: x2+5=...

Question

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

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Solution

$x^{2} + 5 = - 6 x$
$\Rightarrow x^{2} + 6 x + 5 = 0$
$\Rightarrow x^{2} + 5 x + x + 5 = 0$
$\Rightarrow (x + 5) (x + 1) = 0$
$\Rightarrow x = - 5$ OR $x = - 1$

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