# How do you solve 2(x² – 66) = -13x?

$x = \frac{11}{2} \mathmr{and} x = - 12$
$2 \left({x}^{2} - 66\right) = - 13 x \mathmr{and} 2 {x}^{2} + 13 x - 132 = 0 \mathmr{and} 2 {x}^{2} + 24 x - 11 x - 132 = 0 \mathmr{and} 2 x \left(x + 12\right) - 11 \left(x + 12\right) = 0 \mathmr{and} \left(2 x - 11\right) \left(x + 12\right) = 0 \therefore \left(2 x - 11\right) = 0 \mathmr{and} \left(x + 12\right) = 0 \therefore x = \frac{11}{2} \mathmr{and} x = - 12$[Ans]