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Factorisation by Regrouping Terms

Solve : 3x2+...

Question

Solve :
$3 x^{2} + 13 x + 10 = 0$

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Solution

given, $3 x^{2} + 13 x + 10 = 0$

$3 x^{2} + 10 x + 3 x + 10 = 0$

$x (3 x + 10) + 1 (3 x + 10) = 0$

$(3 x + 10) (x + 1) = 0$

$x = - \frac{10}{3}, - 1$

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