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Simplifying 2w2 + 50w = 0 Reorder the terms: 50w + 2w2 = 0 Solving 50w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(25 + 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 '(25 + w)' equal to zero and attempt to solve: Simplifying 25 + w = 0 Solving 25 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + w = 0 + -25 w = 0 + -25 Combine like terms: 0 + -25 = -25 w = -25 Simplifying w = -25Solution
w = {0, -25}
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