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