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

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

Simplifying
-32h3 + 48h2 * y + -18hy2 = 0

Multiply h2 * y
-32h3 + 48h2y + -18hy2 = 0

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

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

Solving for variable 'h'.

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

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

Simplifying
-3y + 4h = 0

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

Solving
4h + -3y = 0

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

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

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

Divide each side by '4'.
h = 0.75y

Simplifying
h = 0.75y
Subproblem 3
Set the factor '(3y + -4h)' equal to zero and attempt to solve:

Simplifying
3y + -4h = 0

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

Solving
-4h + 3y = 0

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

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

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

Divide each side by '-4'.
h = 0.75y

Simplifying
h = 0.75y
Solution
h = {0, 0.75y, 0.75y}