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

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

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

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

Reorder the terms for easier multiplication:
6h + -3h(5 + -2h) = 0
6h + (5 * -3h + -2h * -3h) = 0
6h + (-15h + 6h2) = 0

Combine like terms: 6h + -15h = -9h
-9h + 6h2 = 0

Solving
-9h + 6h2 = 0

Solving for variable 'h'.

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

Ignore the factor 3.
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}