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Simplifying w3 + -144w = 0 Reorder the terms: -144w + w3 = 0 Solving -144w + w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-144 + w2) = 0 Factor a difference between two squares. w((12 + w)(-12 + w)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Subproblem 3
Set the factor '(-12 + w)' equal to zero and attempt to solve: Simplifying -12 + w = 0 Solving -12 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + w = 0 + 12 w = 0 + 12 Combine like terms: 0 + 12 = 12 w = 12 Simplifying w = 12Solution
w = {0, -12, 12}
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