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Simplifying w2 + -49w = 0 Reorder the terms: -49w + w2 = 0 Solving -49w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-49 + 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 '(-49 + w)' equal to zero and attempt to solve: Simplifying -49 + w = 0 Solving -49 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + w = 0 + 49 Combine like terms: -49 + 49 = 0 0 + w = 0 + 49 w = 0 + 49 Combine like terms: 0 + 49 = 49 w = 49 Simplifying w = 49Solution
w = {0, 49}
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