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Expansion of (a ± b ± c)²

Factorise: x...

Question

Factorise: $x^{2}$ + $7 x$ + $10$ $= 0$

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Solution

$x^{2} + 7 x + 10 = 0$
$x^{2} + 5 x + 2 x + 10 = 0$
$x (x + 5) + 2 (x + 5) = 0$
$(x + 5) (x + 2) = 0$
$x = - 5, - 2$

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