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Simplifying 0 = -1w2 + 10w Reorder the terms: 0 = 10w + -1w2 Solving 0 = 10w + -1w2 Solving for variable 'w'. Remove the zero: -10w + w2 = 10w + -1w2 + -10w + w2 Reorder the terms: -10w + w2 = 10w + -10w + -1w2 + w2 Combine like terms: 10w + -10w = 0 -10w + w2 = 0 + -1w2 + w2 -10w + w2 = -1w2 + w2 Combine like terms: -1w2 + w2 = 0 -10w + w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-10 + 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 '(-10 + w)' equal to zero and attempt to solve: Simplifying -10 + w = 0 Solving -10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + w = 0 + 10 w = 0 + 10 Combine like terms: 0 + 10 = 10 w = 10 Simplifying w = 10Solution
w = {0, 10}
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