Use the distributive property to multiply $x-12$ by $-16$.
$$x^{2}-12x-16x+192=32$$
Combine $-12x$ and $-16x$ to get $-28x$.
$$x^{2}-28x+192=32$$
Subtract $32$ from both sides.
$$x^{2}-28x+192-32=0$$
Subtract $32$ from $192$ to get $160$.
$$x^{2}-28x+160=0$$
This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $-28$ for $b$, and $160$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.
Use the distributive property to multiply $x-12$ by $-16$.
$$x^{2}-12x-16x+192=32$$
Combine $-12x$ and $-16x$ to get $-28x$.
$$x^{2}-28x+192=32$$
Subtract $192$ from both sides.
$$x^{2}-28x=32-192$$
Subtract $192$ from $32$ to get $-160$.
$$x^{2}-28x=-160$$
Divide $-28$, the coefficient of the $x$ term, by $2$ to get $-14$. Then add the square of $-14$ to both sides of the equation. This step makes the left hand side of the equation a perfect square.
