72h=-2h^2

Solution for 72h=-2h^2 equation:

Simplifying
72h = -2h2

Solving
72h = -2h2

Solving for variable 'h'.

Combine like terms: -2h2 + 2h2 = 0
72h + 2h2 = 0

Factor out the Greatest Common Factor (GCF), '2h'.
2h(36 + h) = 0

Ignore the factor 2.
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 '(36 + h)' equal to zero and attempt to solve:

Simplifying
36 + h = 0

Solving
36 + h = 0

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

Add '-36' to each side of the equation.
36 + -36 + h = 0 + -36

Combine like terms: 36 + -36 = 0
0 + h = 0 + -36
h = 0 + -36

Combine like terms: 0 + -36 = -36
h = -36

Simplifying
h = -36
Solution
h = {0, -36}