Subtract $4$ from both sides. Anything subtracted from zero gives its negation.
$$-4x^{2}=-4$$
Divide both sides by $-4$.
$$x^{2}=\frac{-4}{-4}$$
Divide $-4$ by $-4$ to get $1$.
$$x^{2}=1$$
Take the square root of both sides of the equation.
$$x=1$$ $$x=-1$$
Steps Using the Quadratic Formula
Quadratic equations like this one, with an $x^{2}$ term but no $x$ term, can still be solved using the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$, once they are put in standard form: $ax^{2}+bx+c=0$.
$$-4x^{2}+4=0$$
This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $-4$ for $a$, $0$ for $b$, and $4$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.
