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Simplifying w2 = -19w Solving w2 = -19w Solving for variable 'w'. Reorder the terms: 19w + w2 = -19w + 19w Combine like terms: -19w + 19w = 0 19w + w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(19 + w) = 0Subproblem 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 '(19 + w)' equal to zero and attempt to solve: Simplifying 19 + w = 0 Solving 19 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + w = 0 + -19 w = 0 + -19 Combine like terms: 0 + -19 = -19 w = -19 Simplifying w = -19Solution
w = {0, -19}
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