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Simplifying 96 = w(w + 4) Reorder the terms: 96 = w(4 + w) 96 = (4 * w + w * w) 96 = (4w + w2) Solving 96 = 4w + w2 Solving for variable 'w'. Reorder the terms: 96 + -4w + -1w2 = 4w + -4w + w2 + -1w2 Combine like terms: 4w + -4w = 0 96 + -4w + -1w2 = 0 + w2 + -1w2 96 + -4w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 96 + -4w + -1w2 = 0 Factor a trinomial. (8 + -1w)(12 + 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 '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 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 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Solution
w = {8, -12}
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