Divide both sides by $-3$. 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
Subtract $5x^{2}$ from both sides.
$$2x^{2}-5x^{2}=0$$
Combine $2x^{2}$ and $-5x^{2}$ to get $-3x^{2}$.
$$-3x^{2}=0$$
Divide both sides by $-3$. 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, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.