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Factorisation by Regrouping Terms

Solve : x2+1...

Question

Solve :
$x^{2} + 10 x + 25 = 0$

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Solution

$x^{2} + 10 x + 25 = 0$
$x^{2} + 5 x + 5 x + 25 = 0$
$x (x + 5) + 5 (x + 5) = 0$
$(x + 5) (x + 5) = 0$
$x = - 5, - 5$

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