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Simplifying -15w(w + 15) = 0 Reorder the terms: -15w(15 + w) = 0 (15 * -15w + w * -15w) = 0 (-225w + -15w2) = 0 Solving -225w + -15w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-15w'. -15w(15 + w) = 0 Ignore the factor -15.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 '(15 + w)' equal to zero and attempt to solve: Simplifying 15 + w = 0 Solving 15 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + w = 0 + -15 w = 0 + -15 Combine like terms: 0 + -15 = -15 w = -15 Simplifying w = -15Solution
w = {0, -15}
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