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Simplifying w2 + -19w = 0 Reorder the terms: -19w + w2 = 0 Solving -19w + w2 = 0 Solving for variable 'w'. 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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