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Simplifying 33w = 2w2 + 5w Reorder the terms: 33w = 5w + 2w2 Solving 33w = 5w + 2w2 Solving for variable 'w'. Combine like terms: 33w + -5w = 28w 28w + -2w2 = 5w + 2w2 + -5w + -2w2 Reorder the terms: 28w + -2w2 = 5w + -5w + 2w2 + -2w2 Combine like terms: 5w + -5w = 0 28w + -2w2 = 0 + 2w2 + -2w2 28w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 28w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(14 + -1w) = 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 '(14 + -1w)' equal to zero and attempt to solve: Simplifying 14 + -1w = 0 Solving 14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 0 + -14 -1w = 0 + -14 Combine like terms: 0 + -14 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14Solution
w = {0, 14}
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