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Simplifying 0 = 2(w2 + 2w + -168) Reorder the terms: 0 = 2(-168 + 2w + w2) 0 = (-168 * 2 + 2w * 2 + w2 * 2) 0 = (-336 + 4w + 2w2) Solving 0 = -336 + 4w + 2w2 Solving for variable 'w'. Combine like terms: 0 + 336 = 336 336 + -4w + -2w2 = -336 + 4w + 2w2 + 336 + -4w + -2w2 Reorder the terms: 336 + -4w + -2w2 = -336 + 336 + 4w + -4w + 2w2 + -2w2 Combine like terms: -336 + 336 = 0 336 + -4w + -2w2 = 0 + 4w + -4w + 2w2 + -2w2 336 + -4w + -2w2 = 4w + -4w + 2w2 + -2w2 Combine like terms: 4w + -4w = 0 336 + -4w + -2w2 = 0 + 2w2 + -2w2 336 + -4w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 336 + -4w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(168 + -2w + -1w2) = 0 Factor a trinomial. 2((12 + -1w)(14 + 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 '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14Solution
w = {12, -14}
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