-80h^3+120h^2-45hy^2=

Solution for -80h^3+120h^2-45hy^2= equation:

Simplifying
-80h3 + 120h2 + -45hy2 = 0

Reorder the terms:
-45hy2 + 120h2 + -80h3 = 0

Solving
-45hy2 + 120h2 + -80h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5h'.
5h(-9y2 + 24h + -16h2) = 0

Factor a trinomial.
5h((-3y + 4h)(3y + -4h)) = 0

Ignore the factor 5.
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 '(-3y + 4h)' equal to zero and attempt to solve:

Simplifying
-3y + 4h = 0

Reorder the terms:
4h + -3y = 0

Solving
4h + -3y = 0

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

Add '3y' to each side of the equation.
4h + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4h + 0 = 0 + 3y
4h = 0 + 3y
Remove the zero:
4h = 3y

Divide each side by '4'.
h = 0.75y

Simplifying
h = 0.75y
Subproblem 3
Set the factor '(3y + -4h)' equal to zero and attempt to solve:

Simplifying
3y + -4h = 0

Reorder the terms:
-4h + 3y = 0

Solving
-4h + 3y = 0

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

Add '-3y' to each side of the equation.
-4h + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-4h + 0 = 0 + -3y
-4h = 0 + -3y
Remove the zero:
-4h = -3y

Divide each side by '-4'.
h = 0.75y

Simplifying
h = 0.75y
Solution
h = {0, 0.75y, 0.75y}