Question

solve $x^2 - 16x + 60 = -12$ by completing the steps. first, subtract \boxed{} from each side of the equation.

Explanation:

Step1: Rewrite the equation

We start with the equation \(x^{2}-16x + 60=- 12\). To complete the square, we first want to get the constant terms on one side. So we need to subtract 60 from both sides.
The operation is: Subtract 60 from each side. The expression for the left - hand side becomes \(x^{2}-16x+60 - 60=x^{2}-16x\), and the right - hand side becomes \(-12 - 60=-72\). So the equation becomes \(x^{2}-16x=-72\) after subtracting 60 from both sides.

Answer:

60