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Simplifying -4w(w + -3)(w + 2) = 0 Reorder the terms: -4w(-3 + w)(w + 2) = 0 Reorder the terms: -4w(-3 + w)(2 + w) = 0 Multiply (-3 + w) * (2 + w) -4w(-3(2 + w) + w(2 + w)) = 0 -4w((2 * -3 + w * -3) + w(2 + w)) = 0 -4w((-6 + -3w) + w(2 + w)) = 0 -4w(-6 + -3w + (2 * w + w * w)) = 0 -4w(-6 + -3w + (2w + w2)) = 0 Combine like terms: -3w + 2w = -1w -4w(-6 + -1w + w2) = 0 (-6 * -4w + -1w * -4w + w2 * -4w) = 0 (24w + 4w2 + -4w3) = 0 Solving 24w + 4w2 + -4w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(6 + w + -1w2) = 0 Factor a trinomial. 4w((3 + -1w)(2 + 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 '(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 = 3Subproblem 3
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, 3, -2}
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