-50h^3+40h^2y-8hy^2=0

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Solution for -50h^3+40h^2y-8hy^2=0 equation: 


Simplifying
-50h3 + 40h2y + -8hy2 = 0

Reorder the terms:
-8hy2 + 40h2y + -50h3 = 0

Solving
-8hy2 + 40h2y + -50h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-4y2 + 20hy + -25h2) = 0

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

Simplifying
-2y + 5h = 0

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

Solving
5h + -2y = 0

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

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

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

Divide each side by '5'.
h = 0.4y

Simplifying
h = 0.4y

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

Simplifying
2y + -5h = 0

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

Solving
-5h + 2y = 0

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

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

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

Divide each side by '-5'.
h = 0.4y

Simplifying
h = 0.4y
Solution
h = {0, 0.4y, 0.4y}

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