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Simplifying -5w(w + 2) = 0 Reorder the terms: -5w(2 + w) = 0 (2 * -5w + w * -5w) = 0 (-10w + -5w2) = 0 Solving -10w + -5w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-5w'. -5w(2 + 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 '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {0, -2}
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