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Simplifying -20w(w + -23) = 0 Reorder the terms: -20w(-23 + w) = 0 (-23 * -20w + w * -20w) = 0 (460w + -20w2) = 0 Solving 460w + -20w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '20w'. 20w(23 + -1w) = 0 Ignore the factor 20.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 '(23 + -1w)' equal to zero and attempt to solve: Simplifying 23 + -1w = 0 Solving 23 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1w = 0 + -23 -1w = 0 + -23 Combine like terms: 0 + -23 = -23 -1w = -23 Divide each side by '-1'. w = 23 Simplifying w = 23Solution
w = {0, 23}
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