(h+6)(h-4)=

Solution for (h+6)(h-4)= 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.
(-6 + -1h)(4 + -1h) = 0

Subproblem 1
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
Subproblem 2
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
Solution
h = {-6, 4}