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Simplifying 4w2 = 20w Solving 4w2 = 20w Solving for variable 'w'. Reorder the terms: -20w + 4w2 = 20w + -20w Combine like terms: 20w + -20w = 0 -20w + 4w2 = 0 Factor out the Greatest Common Factor (GCF), '4w'. 4w(-5 + w) = 0 Ignore the factor 4.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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