Answer
$x=1.2$ or $x=-0.9$
Work Step by Step
We are given:
$7x^2-2x=8$
$7x^2-2x-8=0$
Use the quadratic formula.
$x=\frac{-(-2) \pm \sqrt (-2)^2-4.7(-8)}{2.(7)}$
$x=\frac{2 \pm 15.1}{14}$
Simplify:
$x=\frac{2 +15.1}{14}$ or $x=\frac{2 - 15.1}{14}$
$x=1.2$ or $x=-0.9$