Divide both sides by $6$. Zero divided by any non-zero number gives zero.
$$x^{2}=0$$
Take the square root of both sides of the equation.
$$x=0$$ $$x=0$$
The equation is now solved. Solutions are the same.
$$x=0$$
Steps Using the Quadratic Formula
Combine $x$ and $-x$ to get $0$.
$$6x^{2}=0$$
Divide both sides by $6$. Zero divided by any non-zero number gives zero.
$$x^{2}=0$$
This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $0$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.