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Simplifying -5w(w + -4)(w + 3) = 0 Reorder the terms: -5w(-4 + w)(w + 3) = 0 Reorder the terms: -5w(-4 + w)(3 + w) = 0 Multiply (-4 + w) * (3 + w) -5w(-4(3 + w) + w(3 + w)) = 0 -5w((3 * -4 + w * -4) + w(3 + w)) = 0 -5w((-12 + -4w) + w(3 + w)) = 0 -5w(-12 + -4w + (3 * w + w * w)) = 0 -5w(-12 + -4w + (3w + w2)) = 0 Combine like terms: -4w + 3w = -1w -5w(-12 + -1w + w2) = 0 (-12 * -5w + -1w * -5w + w2 * -5w) = 0 (60w + 5w2 + -5w3) = 0 Solving 60w + 5w2 + -5w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(12 + w + -1w2) = 0 Factor a trinomial. 5w((4 + -1w)(3 + w)) = 0 Ignore the factor 5.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 '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Subproblem 3
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 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 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Solution
w = {0, 4, -3}
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