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Simplifying -1w2 = 5w Solving -1w2 = 5w Solving for variable 'w'. Reorder the terms: -5w + -1w2 = 5w + -5w Combine like terms: 5w + -5w = 0 -5w + -1w2 = 0 Factor out the Greatest Common Factor (GCF), '-1w'. -1w(5 + w) = 0 Ignore the factor -1.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 '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Solution
w = {0, -5}
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