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Simplifying -4w(w + -1)(w + 5) = 0 Reorder the terms: -4w(-1 + w)(w + 5) = 0 Reorder the terms: -4w(-1 + w)(5 + w) = 0 Multiply (-1 + w) * (5 + w) -4w(-1(5 + w) + w(5 + w)) = 0 -4w((5 * -1 + w * -1) + w(5 + w)) = 0 -4w((-5 + -1w) + w(5 + w)) = 0 -4w(-5 + -1w + (5 * w + w * w)) = 0 -4w(-5 + -1w + (5w + w2)) = 0 Combine like terms: -1w + 5w = 4w -4w(-5 + 4w + w2) = 0 (-5 * -4w + 4w * -4w + w2 * -4w) = 0 (20w + -16w2 + -4w3) = 0 Solving 20w + -16w2 + -4w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(5 + -4w + -1w2) = 0 Factor a trinomial. 4w((1 + -1w)(5 + w)) = 0 Ignore the factor 4.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 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 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 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Subproblem 3
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, 1, -5}
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