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