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Simplifying 264 = w(2w + -2) Reorder the terms: 264 = w(-2 + 2w) 264 = (-2 * w + 2w * w) 264 = (-2w + 2w2) Solving 264 = -2w + 2w2 Solving for variable 'w'. Reorder the terms: 264 + 2w + -2w2 = -2w + 2w + 2w2 + -2w2 Combine like terms: -2w + 2w = 0 264 + 2w + -2w2 = 0 + 2w2 + -2w2 264 + 2w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 264 + 2w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(132 + w + -1w2) = 0 Factor a trinomial. 2((12 + -1w)(11 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Subproblem 2
Set the factor '(11 + w)' equal to zero and attempt to solve: Simplifying 11 + w = 0 Solving 11 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + w = 0 + -11 w = 0 + -11 Combine like terms: 0 + -11 = -11 w = -11 Simplifying w = -11Solution
w = {12, -11}
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