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Simplifying w(-42 + -2w + 8) = 0 Reorder the terms: w(-42 + 8 + -2w) = 0 Combine like terms: -42 + 8 = -34 w(-34 + -2w) = 0 (-34 * w + -2w * w) = 0 (-34w + -2w2) = 0 Solving -34w + -2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-2w'. -2w(17 + w) = 0 Ignore the factor -2.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 '(17 + w)' equal to zero and attempt to solve: Simplifying 17 + w = 0 Solving 17 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + w = 0 + -17 w = 0 + -17 Combine like terms: 0 + -17 = -17 w = -17 Simplifying w = -17Solution
w = {0, -17}
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