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Simplifying -21w(w + -3) = 0 Reorder the terms: -21w(-3 + w) = 0 (-3 * -21w + w * -21w) = 0 (63w + -21w2) = 0 Solving 63w + -21w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '21w'. 21w(3 + -1w) = 0 Ignore the factor 21.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 '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {0, 3}
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