4w^3-9w=0

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Solution for 4w^3-9w=0 equation:


Simplifying
4w3 + -9w = 0

Reorder the terms:
-9w + 4w3 = 0

Solving
-9w + 4w3 = 0

Solving for variable 'w'.

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

Factor a difference between two squares.
w((3 + 2w)(-3 + 2w)) = 0

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 '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5

Subproblem 3

Set the factor '(-3 + 2w)' equal to zero and attempt to solve: Simplifying -3 + 2w = 0 Solving -3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 0 + 3 2w = 0 + 3 Combine like terms: 0 + 3 = 3 2w = 3 Divide each side by '2'. w = 1.5 Simplifying w = 1.5

Solution

w = {0, -1.5, 1.5}

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