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Simplifying w(w + 2) = 2w(w + -1) Reorder the terms: w(2 + w) = 2w(w + -1) (2 * w + w * w) = 2w(w + -1) (2w + w2) = 2w(w + -1) Reorder the terms: 2w + w2 = 2w(-1 + w) 2w + w2 = (-1 * 2w + w * 2w) 2w + w2 = (-2w + 2w2) Solving 2w + w2 = -2w + 2w2 Solving for variable 'w'. Reorder the terms: 2w + 2w + w2 + -2w2 = -2w + 2w2 + 2w + -2w2 Combine like terms: 2w + 2w = 4w 4w + w2 + -2w2 = -2w + 2w2 + 2w + -2w2 Combine like terms: w2 + -2w2 = -1w2 4w + -1w2 = -2w + 2w2 + 2w + -2w2 Reorder the terms: 4w + -1w2 = -2w + 2w + 2w2 + -2w2 Combine like terms: -2w + 2w = 0 4w + -1w2 = 0 + 2w2 + -2w2 4w + -1w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 4w + -1w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(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 '(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, 4}
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