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Simplifying 0 = 88w2 + 22w Reorder the terms: 0 = 22w + 88w2 Solving 0 = 22w + 88w2 Solving for variable 'w'. Remove the zero: -22w + -88w2 = 22w + 88w2 + -22w + -88w2 Reorder the terms: -22w + -88w2 = 22w + -22w + 88w2 + -88w2 Combine like terms: 22w + -22w = 0 -22w + -88w2 = 0 + 88w2 + -88w2 -22w + -88w2 = 88w2 + -88w2 Combine like terms: 88w2 + -88w2 = 0 -22w + -88w2 = 0 Factor out the Greatest Common Factor (GCF), '-22w'. -22w(1 + 4w) = 0 Ignore the factor -22.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 '(1 + 4w)' equal to zero and attempt to solve: Simplifying 1 + 4w = 0 Solving 1 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4w = 0 + -1 4w = 0 + -1 Combine like terms: 0 + -1 = -1 4w = -1 Divide each side by '4'. w = -0.25 Simplifying w = -0.25Solution
w = {0, -0.25}
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