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Simplifying 128 = w2 + 8w Reorder the terms: 128 = 8w + w2 Solving 128 = 8w + w2 Solving for variable 'w'. Reorder the terms: 128 + -8w + -1w2 = 8w + -8w + w2 + -1w2 Combine like terms: 8w + -8w = 0 128 + -8w + -1w2 = 0 + w2 + -1w2 128 + -8w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 128 + -8w + -1w2 = 0 Factor a trinomial. (8 + -1w)(16 + w) = 0Subproblem 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 '(16 + w)' equal to zero and attempt to solve: Simplifying 16 + w = 0 Solving 16 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + w = 0 + -16 w = 0 + -16 Combine like terms: 0 + -16 = -16 w = -16 Simplifying w = -16Solution
w = {8, -16}
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