Answer
No real solution.
Work Step by Step
The given expression is
$\Rightarrow -3x^2+6=10$
Subtract $6$ from each side.
$\Rightarrow -3x^2+6-6=10-6$
Simplify.
$\Rightarrow -3x^2=4$
Divide each side by $-3$.
$\Rightarrow \frac{-3x^2}{-3}=\frac{4}{-3}$
Simplify.
$\Rightarrow x^2=-\frac{4}{3}$
$-\frac{4}{3}\leq0$ is a negative number.
Square root of real number cannot be negative.
Hence, there is no real solution.
