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Simplifying 0 = (36 + -2w) * w Reorder the terms for easier multiplication: 0 = w(36 + -2w) 0 = (36 * w + -2w * w) 0 = (36w + -2w2) Solving 0 = 36w + -2w2 Solving for variable 'w'. Remove the zero: -36w + 2w2 = 36w + -2w2 + -36w + 2w2 Reorder the terms: -36w + 2w2 = 36w + -36w + -2w2 + 2w2 Combine like terms: 36w + -36w = 0 -36w + 2w2 = 0 + -2w2 + 2w2 -36w + 2w2 = -2w2 + 2w2 Combine like terms: -2w2 + 2w2 = 0 -36w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(-18 + 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 '(-18 + w)' equal to zero and attempt to solve: Simplifying -18 + w = 0 Solving -18 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + w = 0 + 18 w = 0 + 18 Combine like terms: 0 + 18 = 18 w = 18 Simplifying w = 18Solution
w = {0, 18}
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