-20h^3+100h^2y-125hy^2=0

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Solution for -20h^3+100h^2y-125hy^2=0 equation: 


Simplifying
-20h3 + 100h2y + -125hy2 = 0

Reorder the terms:
-125hy2 + 100h2y + -20h3 = 0

Solving
-125hy2 + 100h2y + -20h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5h'.
5h(-25y2 + 20hy + -4h2) = 0

Factor a trinomial.
5h((-5y + 2h)(5y + -2h)) = 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 '(-5y + 2h)' equal to zero and attempt to solve:

Simplifying
-5y + 2h = 0

Reorder the terms:
2h + -5y = 0

Solving
2h + -5y = 0

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

Add '5y' to each side of the equation.
2h + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2h + 0 = 0 + 5y
2h = 0 + 5y
Remove the zero:
2h = 5y

Divide each side by '2'.
h = 2.5y

Simplifying
h = 2.5y

Subproblem 3
Set the factor '(5y + -2h)' equal to zero and attempt to solve:

Simplifying
5y + -2h = 0

Reorder the terms:
-2h + 5y = 0

Solving
-2h + 5y = 0

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

Add '-5y' to each side of the equation.
-2h + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-2h + 0 = 0 + -5y
-2h = 0 + -5y
Remove the zero:
-2h = -5y

Divide each side by '-2'.
h = 2.5y

Simplifying
h = 2.5y
Solution
h = {0, 2.5y, 2.5y}

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