Answer
The equation has no real solutions.
Work Step by Step
The given equation is
$x^2-2x=-4$
Add $4$ to each side.
$x^2-2x+4=-4+4$
Simplify.
$x^2-2x+4=0$
Graph the related function.
$f(x)=x^2-2x+4$
There are no $x-$ intercepts.
Hence, the equation has no real solutions.