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Simplifying 5w2 = 45w Solving 5w2 = 45w Solving for variable 'w'. Reorder the terms: -45w + 5w2 = 45w + -45w Combine like terms: 45w + -45w = 0 -45w + 5w2 = 0 Factor out the Greatest Common Factor (GCF), '5w'. 5w(-9 + 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 '(-9 + w)' equal to zero and attempt to solve: Simplifying -9 + w = 0 Solving -9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + w = 0 + 9 w = 0 + 9 Combine like terms: 0 + 9 = 9 w = 9 Simplifying w = 9Solution
w = {0, 9}
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