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Simplifying w2 + -13w + 0 = 0 Reorder the terms: 0 + -13w + w2 = 0 Remove the zero: -13w + w2 = 0 Solving -13w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-13 + 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 '(-13 + w)' equal to zero and attempt to solve: Simplifying -13 + w = 0 Solving -13 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + w = 0 + 13 w = 0 + 13 Combine like terms: 0 + 13 = 13 w = 13 Simplifying w = 13Solution
w = {0, 13}
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