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Simplifying 0 = 720w + -18w2 Solving 0 = 720w + -18w2 Solving for variable 'w'. Remove the zero: -720w + 18w2 = 720w + -18w2 + -720w + 18w2 Reorder the terms: -720w + 18w2 = 720w + -720w + -18w2 + 18w2 Combine like terms: 720w + -720w = 0 -720w + 18w2 = 0 + -18w2 + 18w2 -720w + 18w2 = -18w2 + 18w2 Combine like terms: -18w2 + 18w2 = 0 -720w + 18w2 = 0 Factor out the Greatest Common Factor (GCF), '18w'. 18w(-40 + w) = 0 Ignore the factor 18.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 '(-40 + w)' equal to zero and attempt to solve: Simplifying -40 + w = 0 Solving -40 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + w = 0 + 40 Combine like terms: -40 + 40 = 0 0 + w = 0 + 40 w = 0 + 40 Combine like terms: 0 + 40 = 40 w = 40 Simplifying w = 40Solution
w = {0, 40}
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