(5h+10)(h-6)=0

Solution for (5h+10)(h-6)=0 equation:

Simplifying
(5h + 10)(h + -6) = 0

Reorder the terms:
(10 + 5h)(h + -6) = 0

Reorder the terms:
(10 + 5h)(-6 + h) = 0

Multiply (10 + 5h) * (-6 + h)
(10(-6 + h) + 5h * (-6 + h)) = 0
((-6 * 10 + h * 10) + 5h * (-6 + h)) = 0
((-60 + 10h) + 5h * (-6 + h)) = 0
(-60 + 10h + (-6 * 5h + h * 5h)) = 0
(-60 + 10h + (-30h + 5h2)) = 0

Combine like terms: 10h + -30h = -20h
(-60 + -20h + 5h2) = 0

Solving
-60 + -20h + 5h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -4h + h2) = 0

Factor a trinomial.
5((-2 + -1h)(6 + -1h)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve:

Simplifying
-2 + -1h = 0

Solving
-2 + -1h = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1h = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1h = 0 + 2
-1h = 0 + 2

Combine like terms: 0 + 2 = 2
-1h = 2

Divide each side by '-1'.
h = -2

Simplifying
h = -2
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 = {-2, 6}