-100h^3+160h^2y-64hy^2=

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Solution for -100h^3+160h^2y-64hy^2= equation: 


Simplifying
-100h3 + 160h2y + -64hy2 = 0

Reorder the terms:
-64hy2 + 160h2y + -100h3 = 0

Solving
-64hy2 + 160h2y + -100h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4h'.
4h(-16y2 + 40hy + -25h2) = 0

Factor a trinomial.
4h((-4y + 5h)(4y + -5h)) = 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 '(-4y + 5h)' equal to zero and attempt to solve:

Simplifying
-4y + 5h = 0

Reorder the terms:
5h + -4y = 0

Solving
5h + -4y = 0

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

Add '4y' to each side of the equation.
5h + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
5h + 0 = 0 + 4y
5h = 0 + 4y
Remove the zero:
5h = 4y

Divide each side by '5'.
h = 0.8y

Simplifying
h = 0.8y

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

Simplifying
4y + -5h = 0

Reorder the terms:
-5h + 4y = 0

Solving
-5h + 4y = 0

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

Add '-4y' to each side of the equation.
-5h + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-5h + 0 = 0 + -4y
-5h = 0 + -4y
Remove the zero:
-5h = -4y

Divide each side by '-5'.
h = 0.8y

Simplifying
h = 0.8y
Solution
h = {0, 0.8y, 0.8y}

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