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Simplifying 3w(w + -5) = 0 Reorder the terms: 3w(-5 + w) = 0 (-5 * 3w + w * 3w) = 0 (-15w + 3w2) = 0 Solving -15w + 3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(-5 + w) = 0 Ignore the factor 3.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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