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Simplifying 0 = w2 + 7w Reorder the terms: 0 = 7w + w2 Solving 0 = 7w + w2 Solving for variable 'w'. Remove the zero: -7w + -1w2 = 7w + w2 + -7w + -1w2 Reorder the terms: -7w + -1w2 = 7w + -7w + w2 + -1w2 Combine like terms: 7w + -7w = 0 -7w + -1w2 = 0 + w2 + -1w2 -7w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -7w + -1w2 = 0 Factor out the Greatest Common Factor (GCF), '-1w'. -1w(7 + w) = 0 Ignore the factor -1.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 '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7Solution
w = {0, -7}
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