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Simplifying 120 = w(w + 2) Reorder the terms: 120 = w(2 + w) 120 = (2 * w + w * w) 120 = (2w + w2) Solving 120 = 2w + w2 Solving for variable 'w'. Reorder the terms: 120 + -2w + -1w2 = 2w + -2w + w2 + -1w2 Combine like terms: 2w + -2w = 0 120 + -2w + -1w2 = 0 + w2 + -1w2 120 + -2w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 120 + -2w + -1w2 = 0 Factor a trinomial. (10 + -1w)(12 + w) = 0Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10Subproblem 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 = {10, -12}
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