Chapter 7 - Polynomial Equations and Factoring - 7.4 - Solving Polynomial Equations in Factored Form - Exercises - Page 381: 12

$h=8$.

The given equation is $\Rightarrow (h-8)^2=0$ Expand. $\Rightarrow (h-8)(h-8)=0$ Use zero-product property rule. $\Rightarrow h-8=0$ or $h-8=0$ Solve for $h$. $\Rightarrow h=8$ or $h=8$ Check:- $h=8$ $\Rightarrow (8-8)^2=0$ $\Rightarrow (0)^2=0$ $\Rightarrow 0=0$ True. Hence, the solution is $h=8$.