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Simplifying 4w2 = -60w Solving 4w2 = -60w Solving for variable 'w'. Reorder the terms: 60w + 4w2 = -60w + 60w Combine like terms: -60w + 60w = 0 60w + 4w2 = 0 Factor out the Greatest Common Factor (GCF), '4w'. 4w(15 + w) = 0 Ignore the factor 4.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 '(15 + w)' equal to zero and attempt to solve: Simplifying 15 + w = 0 Solving 15 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + w = 0 + -15 w = 0 + -15 Combine like terms: 0 + -15 = -15 w = -15 Simplifying w = -15Solution
w = {0, -15}
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