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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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