-36h^3+48h^2y-16hy^2=0

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Solution for -36h^3+48h^2y-16hy^2=0 equation: 


Simplifying
-36h3 + 48h2y + -16hy2 = 0

Reorder the terms:
-16hy2 + 48h2y + -36h3 = 0

Solving
-16hy2 + 48h2y + -36h3 = 0

Solving for variable 'h'.

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

Factor a trinomial.
4h((-2y + 3h)(2y + -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 '(-2y + 3h)' equal to zero and attempt to solve:

Simplifying
-2y + 3h = 0

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

Solving
3h + -2y = 0

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

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

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

Divide each side by '3'.
h = 0.6666666667y

Simplifying
h = 0.6666666667y

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

Simplifying
2y + -3h = 0

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

Solving
-3h + 2y = 0

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

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

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

Divide each side by '-3'.
h = 0.6666666667y

Simplifying
h = 0.6666666667y
Solution
h = {0, 0.6666666667y, 0.6666666667y}

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