(-2h+5)(3h+6)=

Solution for (-2h+5)(3h+6)= equation:

Simplifying
(-2h + 5)(3h + 6) = 0

Reorder the terms:
(5 + -2h)(3h + 6) = 0

Reorder the terms:
(5 + -2h)(6 + 3h) = 0

Multiply (5 + -2h) * (6 + 3h)
(5(6 + 3h) + -2h * (6 + 3h)) = 0
((6 * 5 + 3h * 5) + -2h * (6 + 3h)) = 0
((30 + 15h) + -2h * (6 + 3h)) = 0
(30 + 15h + (6 * -2h + 3h * -2h)) = 0
(30 + 15h + (-12h + -6h2)) = 0

Combine like terms: 15h + -12h = 3h
(30 + 3h + -6h2) = 0

Solving
30 + 3h + -6h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + h + -2h2) = 0

Factor a trinomial.
3((5 + -2h)(2 + h)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(5 + -2h)' equal to zero and attempt to solve:

Simplifying
5 + -2h = 0

Solving
5 + -2h = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2h = 0 + -5
-2h = 0 + -5

Combine like terms: 0 + -5 = -5
-2h = -5

Divide each side by '-2'.
h = 2.5

Simplifying
h = 2.5
Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 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 + h = 0 + -2

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

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

Simplifying
h = -2
Solution
h = {2.5, -2}