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Simplifying 4(w + 1)(-1w + -9) = 0 Reorder the terms: 4(1 + w)(-1w + -9) = 0 Reorder the terms: 4(1 + w)(-9 + -1w) = 0 Multiply (1 + w) * (-9 + -1w) 4(1(-9 + -1w) + w(-9 + -1w)) = 0 4((-9 * 1 + -1w * 1) + w(-9 + -1w)) = 0 4((-9 + -1w) + w(-9 + -1w)) = 0 4(-9 + -1w + (-9 * w + -1w * w)) = 0 4(-9 + -1w + (-9w + -1w2)) = 0 Combine like terms: -1w + -9w = -10w 4(-9 + -10w + -1w2) = 0 (-9 * 4 + -10w * 4 + -1w2 * 4) = 0 (-36 + -40w + -4w2) = 0 Solving -36 + -40w + -4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-4'. -4(9 + 10w + w2) = 0 Factor a trinomial. -4((9 + w)(1 + w)) = 0 Ignore the factor -4.Subproblem 1
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 2
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 = {-9, -1}
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