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Simplifying -2w2 + -24w + -40 = 0 Reorder the terms: -40 + -24w + -2w2 = 0 Solving -40 + -24w + -2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-2'. -2(20 + 12w + w2) = 0 Factor a trinomial. -2((10 + w)(2 + w)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10Subproblem 2
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 = {-10, -2}
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