Answer
$\frac{1\pm\sqrt {13}}{2}$
Work Step by Step
Step 1. From the given equation, we have $x^2+3=x+6 \longrightarrow x^2-x-3=0 \longrightarrow x=\frac{1\pm\sqrt {1+12}}{2}=\frac{1\pm\sqrt {13}}{2}$
Step 2. Check answers, they both fit.