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Simplifying -4w(w + 1)(w + 9) = 0 Reorder the terms: -4w(1 + w)(w + 9) = 0 Reorder the terms: -4w(1 + w)(9 + w) = 0 Multiply (1 + w) * (9 + w) -4w(1(9 + w) + w(9 + w)) = 0 -4w((9 * 1 + w * 1) + w(9 + w)) = 0 -4w((9 + 1w) + w(9 + w)) = 0 -4w(9 + 1w + (9 * w + w * w)) = 0 -4w(9 + 1w + (9w + w2)) = 0 Combine like terms: 1w + 9w = 10w -4w(9 + 10w + w2) = 0 (9 * -4w + 10w * -4w + w2 * -4w) = 0 (-36w + -40w2 + -4w3) = 0 Solving -36w + -40w2 + -4w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-4w'. -4w(9 + 10w + w2) = 0 Factor a trinomial. -4w((9 + w)(1 + 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 '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Subproblem 3
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {0, -9, -1}
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