Answer
This equation has no real solutions.
Work Step by Step
$3x^{2}=6x-9$
Take all terms to the left side:
$3x^{2}-6x+9=0$
The formula for the discriminant is $D=b^{2}-4ac$. For this equation, $a=3$, $b=-6$ and $c=9$.
Substitute the known values in the formula:
$D=(-6)^{2}-4(3)(9)=36-108=-72$
Since $D\lt0$, this equation has no real solutions.
