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Simplifying w2 + 24w + 140 = 140 Reorder the terms: 140 + 24w + w2 = 140 Add '-140' to each side of the equation. 140 + 24w + -140 + w2 = 140 + -140 Reorder the terms: 140 + -140 + 24w + w2 = 140 + -140 Combine like terms: 140 + -140 = 0 0 + 24w + w2 = 140 + -140 24w + w2 = 140 + -140 Combine like terms: 140 + -140 = 0 24w + w2 = 0 Solving 24w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(24 + w) = 0Subproblem 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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