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Simplifying -5w(-2 + 4w) = 0 (-2 * -5w + 4w * -5w) = 0 (10w + -20w2) = 0 Solving 10w + -20w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '10w'. 10w(1 + -2w) = 0 Ignore the factor 10.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 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 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 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Solution
w = {0, 0.5}
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