-20h^3+60h^2-45hy^2=0

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Solution for -20h^3+60h^2-45hy^2=0 equation: 


Simplifying
-20h3 + 60h2 + -45hy2 = 0

Reorder the terms:
-45hy2 + 60h2 + -20h3 = 0

Solving
-45hy2 + 60h2 + -20h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5h'.
5h(-9y2 + 12h + -4h2) = 0

Factor a trinomial.
5h((-3y + 2h)(3y + -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 '(-3y + 2h)' equal to zero and attempt to solve:

Simplifying
-3y + 2h = 0

Reorder the terms:
2h + -3y = 0

Solving
2h + -3y = 0

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

Add '3y' to each side of the equation.
2h + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2h + 0 = 0 + 3y
2h = 0 + 3y
Remove the zero:
2h = 3y

Divide each side by '2'.
h = 1.5y

Simplifying
h = 1.5y

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

Simplifying
3y + -2h = 0

Reorder the terms:
-2h + 3y = 0

Solving
-2h + 3y = 0

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

Add '-3y' to each side of the equation.
-2h + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-2h + 0 = 0 + -3y
-2h = 0 + -3y
Remove the zero:
-2h = -3y

Divide each side by '-2'.
h = 1.5y

Simplifying
h = 1.5y
Solution
h = {0, 1.5y, 1.5y}

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