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Simplifying 112 + -2w2 = -2w Solving 112 + -2w2 = -2w Solving for variable 'w'. Reorder the terms: 112 + 2w + -2w2 = -2w + 2w Combine like terms: -2w + 2w = 0 112 + 2w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(56 + w + -1w2) = 0 Factor a trinomial. 2((8 + -1w)(7 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Subproblem 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 = {8, -7}
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