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

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


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

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

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

Solving for variable 'h'.

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

Factor a trinomial.
4h((-3y + 2h)(3y + -2h)) = 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 '(-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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