(h-6)(h+4)=0

Solution for (h-6)(h+4)=0 equation:

Simplifying
(h + -6)(h + 4) = 0

Reorder the terms:
(-6 + h)(h + 4) = 0

Reorder the terms:
(-6 + h)(4 + h) = 0

Multiply (-6 + h) * (4 + h)
(-6(4 + h) + h(4 + h)) = 0
((4 * -6 + h * -6) + h(4 + h)) = 0
((-24 + -6h) + h(4 + h)) = 0
(-24 + -6h + (4 * h + h * h)) = 0
(-24 + -6h + (4h + h2)) = 0

Combine like terms: -6h + 4h = -2h
(-24 + -2h + h2) = 0

Solving
-24 + -2h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-4 + -1h)(6 + -1h) = 0

Subproblem 1
Set the factor '(-4 + -1h)' equal to zero and attempt to solve:

Simplifying
-4 + -1h = 0

Solving
-4 + -1h = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1h = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1h = 0 + 4
-1h = 0 + 4

Combine like terms: 0 + 4 = 4
-1h = 4

Divide each side by '-1'.
h = -4

Simplifying
h = -4
Subproblem 2
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Solution
h = {-4, 6}