Solve the following quadratic equation by factorization.
$3 x^{2} = - 11 x - 10$

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Solution

product of 10 and 3 = 30
which can be written as 5 x 6
5+6= 11

$3 x squared plus 11 x plus 10 equals 0 3 x squared plus 6 x plus 5 x plus 10 equals 0 3 x left parenthesis x plus 2 right parenthesis plus 5 space left parenthesis x plus 2 right parenthesis equals 0 left parenthesis 3 x plus 5 right parenthesis left parenthesis x plus 2 right parenthesis equals 0 x equals fraction numerator negative 5 over denominator 3 end fraction comma negative 2$

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