-36h^3+120h^2y-100hy^2=

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Solution for -36h^3+120h^2y-100hy^2= equation: 


Simplifying
-36h3 + 120h2y + -100hy2 = 0

Reorder the terms:
-100hy2 + 120h2y + -36h3 = 0

Solving
-100hy2 + 120h2y + -36h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4h'.
4h(-25y2 + 30hy + -9h2) = 0

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

Ignore the factor 4.

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 '(-5y + 3h)' equal to zero and attempt to solve:

Simplifying
-5y + 3h = 0

Reorder the terms:
3h + -5y = 0

Solving
3h + -5y = 0

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

Add '5y' to each side of the equation.
3h + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
3h + 0 = 0 + 5y
3h = 0 + 5y
Remove the zero:
3h = 5y

Divide each side by '3'.
h = 1.666666667y

Simplifying
h = 1.666666667y

Subproblem 3
Set the factor '(5y + -3h)' equal to zero and attempt to solve:

Simplifying
5y + -3h = 0

Reorder the terms:
-3h + 5y = 0

Solving
-3h + 5y = 0

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

Add '-5y' to each side of the equation.
-3h + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-3h + 0 = 0 + -5y
-3h = 0 + -5y
Remove the zero:
-3h = -5y

Divide each side by '-3'.
h = 1.666666667y

Simplifying
h = 1.666666667y
Solution
h = {0, 1.666666667y, 1.666666667y}

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