Answer
$x=7$ or $x=-3$
Work Step by Step
We are given:
$x^2-4x=21$
$x^2-4x-21=0$
Use the quadratic formula.
$x=\frac{-(-4) \pm \sqrt (-4)^2-4.1(-21)}{2.1}$
$x=\frac{4 \pm 10}{2}$
Simplify:
$x=\frac{4 +10}{2}$ or $x=\frac{4 - 10}{2}$
$x=7$ or $x=-3$