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Simplifying 2w(w + -1) = w(w + 2) Reorder the terms: 2w(-1 + w) = w(w + 2) (-1 * 2w + w * 2w) = w(w + 2) (-2w + 2w2) = w(w + 2) Reorder the terms: -2w + 2w2 = w(2 + w) -2w + 2w2 = (2 * w + w * w) -2w + 2w2 = (2w + w2) Solving -2w + 2w2 = 2w + w2 Solving for variable 'w'. Reorder the terms: -2w + -2w + 2w2 + -1w2 = 2w + w2 + -2w + -1w2 Combine like terms: -2w + -2w = -4w -4w + 2w2 + -1w2 = 2w + w2 + -2w + -1w2 Combine like terms: 2w2 + -1w2 = 1w2 -4w + 1w2 = 2w + w2 + -2w + -1w2 Reorder the terms: -4w + 1w2 = 2w + -2w + w2 + -1w2 Combine like terms: 2w + -2w = 0 -4w + 1w2 = 0 + w2 + -1w2 -4w + 1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -4w + 1w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-4 + 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 '(-4 + w)' equal to zero and attempt to solve: Simplifying -4 + w = 0 Solving -4 + w = 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 + w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + w = 0 + 4 w = 0 + 4 Combine like terms: 0 + 4 = 4 w = 4 Simplifying w = 4Solution
w = {0, 4}
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