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Simplifying 0 = 21w2 + 2w Reorder the terms: 0 = 2w + 21w2 Solving 0 = 2w + 21w2 Solving for variable 'w'. Remove the zero: -2w + -21w2 = 2w + 21w2 + -2w + -21w2 Reorder the terms: -2w + -21w2 = 2w + -2w + 21w2 + -21w2 Combine like terms: 2w + -2w = 0 -2w + -21w2 = 0 + 21w2 + -21w2 -2w + -21w2 = 21w2 + -21w2 Combine like terms: 21w2 + -21w2 = 0 -2w + -21w2 = 0 Factor out the Greatest Common Factor (GCF), '-1w'. -1w(2 + 21w) = 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 '(2 + 21w)' equal to zero and attempt to solve: Simplifying 2 + 21w = 0 Solving 2 + 21w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 21w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 21w = 0 + -2 21w = 0 + -2 Combine like terms: 0 + -2 = -2 21w = -2 Divide each side by '21'. w = -0.09523809524 Simplifying w = -0.09523809524Solution
w = {0, -0.09523809524}
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