Answer
No real solution
Work Step by Step
The given equation is
$x^{2}=−x−3$
Step 1:
Write the equation in standard form.
$x^{2}+x+3=0$
Step 2:
Graph the related function
$y =x^{2}+x+3$
Step 3:
Find the $x$-intercept(s).
There are no $x$-intercepts,
So the equation has no real solution.