-18h^3+48h^2y-32hy^2=0

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Solution for -18h^3+48h^2y-32hy^2=0 equation: 


Simplifying
-18h3 + 48h2y + -32hy2 = 0

Reorder the terms:
-32hy2 + 48h2y + -18h3 = 0

Solving
-32hy2 + 48h2y + -18h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-16y2 + 24hy + -9h2) = 0

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

Simplifying
-4y + 3h = 0

Reorder the terms:
3h + -4y = 0

Solving
3h + -4y = 0

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

Add '4y' to each side of the equation.
3h + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3h + 0 = 0 + 4y
3h = 0 + 4y
Remove the zero:
3h = 4y

Divide each side by '3'.
h = 1.333333333y

Simplifying
h = 1.333333333y

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

Simplifying
4y + -3h = 0

Reorder the terms:
-3h + 4y = 0

Solving
-3h + 4y = 0

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

Add '-4y' to each side of the equation.
-3h + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-3h + 0 = 0 + -4y
-3h = 0 + -4y
Remove the zero:
-3h = -4y

Divide each side by '-3'.
h = 1.333333333y

Simplifying
h = 1.333333333y
Solution
h = {0, 1.333333333y, 1.333333333y}

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