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Simplifying 5w2 = 125w Solving 5w2 = 125w Solving for variable 'w'. Reorder the terms: -125w + 5w2 = 125w + -125w Combine like terms: 125w + -125w = 0 -125w + 5w2 = 0 Factor out the Greatest Common Factor (GCF), '5w'. 5w(-25 + w) = 0 Ignore the factor 5.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 '(-25 + w)' equal to zero and attempt to solve: Simplifying -25 + w = 0 Solving -25 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + w = 0 + 25 w = 0 + 25 Combine like terms: 0 + 25 = 25 w = 25 Simplifying w = 25Solution
w = {0, 25}
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