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Simplifying 0 = 360w + -6w2 Solving 0 = 360w + -6w2 Solving for variable 'w'. Remove the zero: -360w + 6w2 = 360w + -6w2 + -360w + 6w2 Reorder the terms: -360w + 6w2 = 360w + -360w + -6w2 + 6w2 Combine like terms: 360w + -360w = 0 -360w + 6w2 = 0 + -6w2 + 6w2 -360w + 6w2 = -6w2 + 6w2 Combine like terms: -6w2 + 6w2 = 0 -360w + 6w2 = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(-60 + w) = 0 Ignore the factor 6.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 '(-60 + w)' equal to zero and attempt to solve: Simplifying -60 + w = 0 Solving -60 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + w = 0 + 60 Combine like terms: -60 + 60 = 0 0 + w = 0 + 60 w = 0 + 60 Combine like terms: 0 + 60 = 60 w = 60 Simplifying w = 60Solution
w = {0, 60}
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