Solve the following quadratic equation by factorization:
$3x^2\ =\ -11x\ –\ 10$

Given:

Given quadratic equation is $3x^2\ =\ -11x\ –\ 10$.

To do:

We have to solve the given quadratic equation by factorization. 

Solution:

$3x^2\ =\ -11x\ –\ 10$ can be written as $3x^2+11x+10=0$.

$3x^2+6x+5x+10=0$ 

$3x(x+2)+5(x+2)=0$

$(x+2)(3x+5)=0$

$x+2=0$ or $3x+5=0$

$x=-2$ or $3x=-5$

$x=-2$ or $x=\frac{-5}{3}$

The roots of the given quadratic equation are $\frac{-5}{3}$ and $-2$.