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

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