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Simplifying 2w3 + -3w2 + -20w = 0 Reorder the terms: -20w + -3w2 + 2w3 = 0 Solving -20w + -3w2 + 2w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-20 + -3w + 2w2) = 0 Factor a trinomial. w((-5 + -2w)(4 + -1w)) = 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 '(-5 + -2w)' equal to zero and attempt to solve: Simplifying -5 + -2w = 0 Solving -5 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = 0 + 5 -2w = 0 + 5 Combine like terms: 0 + 5 = 5 -2w = 5 Divide each side by '-2'. w = -2.5 Simplifying w = -2.5Subproblem 3
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {0, -2.5, 4}
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