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Simplifying 0 = -2w2 + 48w Reorder the terms: 0 = 48w + -2w2 Solving 0 = 48w + -2w2 Solving for variable 'w'. Remove the zero: -48w + 2w2 = 48w + -2w2 + -48w + 2w2 Reorder the terms: -48w + 2w2 = 48w + -48w + -2w2 + 2w2 Combine like terms: 48w + -48w = 0 -48w + 2w2 = 0 + -2w2 + 2w2 -48w + 2w2 = -2w2 + 2w2 Combine like terms: -2w2 + 2w2 = 0 -48w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(-24 + 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 '(-24 + w)' equal to zero and attempt to solve: Simplifying -24 + w = 0 Solving -24 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + w = 0 + 24 w = 0 + 24 Combine like terms: 0 + 24 = 24 w = 24 Simplifying w = 24Solution
w = {0, 24}
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