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Simplifying 18w2 = -4w Solving 18w2 = -4w Solving for variable 'w'. Reorder the terms: 4w + 18w2 = -4w + 4w Combine like terms: -4w + 4w = 0 4w + 18w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(2 + 9w) = 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 '(2 + 9w)' equal to zero and attempt to solve: Simplifying 2 + 9w = 0 Solving 2 + 9w = 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 + 9w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9w = 0 + -2 9w = 0 + -2 Combine like terms: 0 + -2 = -2 9w = -2 Divide each side by '9'. w = -0.2222222222 Simplifying w = -0.2222222222Solution
w = {0, -0.2222222222}
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