5(2h+3)3h=

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

Simplifying
5(2h + 3) * 3h = 0

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

Reorder the terms for easier multiplication:
5 * 3h(3 + 2h) = 0

Multiply 5 * 3
15h(3 + 2h) = 0
(3 * 15h + 2h * 15h) = 0
(45h + 30h2) = 0

Solving
45h + 30h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '15h'.
15h(3 + 2h) = 0

Ignore the factor 15.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(3 + 2h)' equal to zero and attempt to solve:

Simplifying
3 + 2h = 0

Solving
3 + 2h = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2h = 0 + -3
2h = 0 + -3

Combine like terms: 0 + -3 = -3
2h = -3

Divide each side by '2'.
h = -1.5

Simplifying
h = -1.5
Solution
h = {0, -1.5}