(h-16)(h+24)=0

Solution for (h-16)(h+24)=0 equation:

Simplifying
(h + -16)(h + 24) = 0

Reorder the terms:
(-16 + h)(h + 24) = 0

Reorder the terms:
(-16 + h)(24 + h) = 0

Multiply (-16 + h) * (24 + h)
(-16(24 + h) + h(24 + h)) = 0
((24 * -16 + h * -16) + h(24 + h)) = 0
((-384 + -16h) + h(24 + h)) = 0
(-384 + -16h + (24 * h + h * h)) = 0
(-384 + -16h + (24h + h2)) = 0

Combine like terms: -16h + 24h = 8h
(-384 + 8h + h2) = 0

Solving
-384 + 8h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-24 + -1h)(16 + -1h) = 0

Subproblem 1
Set the factor '(-24 + -1h)' equal to zero and attempt to solve:

Simplifying
-24 + -1h = 0

Solving
-24 + -1h = 0

Move all terms containing h to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + -1h = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1h = 0 + 24
-1h = 0 + 24

Combine like terms: 0 + 24 = 24
-1h = 24

Divide each side by '-1'.
h = -24

Simplifying
h = -24
Subproblem 2
Set the factor '(16 + -1h)' equal to zero and attempt to solve:

Simplifying
16 + -1h = 0

Solving
16 + -1h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + -1h = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1h = 0 + -16
-1h = 0 + -16

Combine like terms: 0 + -16 = -16
-1h = -16

Divide each side by '-1'.
h = 16

Simplifying
h = 16
Solution
h = {-24, 16}