9w^3=36w

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Solution for 9w^3=36w equation:


Simplifying
9w3 = 36w

Solving
9w3 = 36w

Solving for variable 'w'.

Reorder the terms:
-36w + 9w3 = 36w + -36w

Combine like terms: 36w + -36w = 0
-36w + 9w3 = 0

Factor out the Greatest Common Factor (GCF), '9w'.
9w(-4 + w2) = 0

Factor a difference between two squares.
9w((2 + w)(-2 + w)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2

Subproblem 3

Set the factor '(-2 + w)' equal to zero and attempt to solve: Simplifying -2 + w = 0 Solving -2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w = 0 + 2 w = 0 + 2 Combine like terms: 0 + 2 = 2 w = 2 Simplifying w = 2

Solution

w = {0, -2, 2}

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