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Simplifying 144 = 3w2 + -11w Reorder the terms: 144 = -11w + 3w2 Solving 144 = -11w + 3w2 Solving for variable 'w'. Reorder the terms: 144 + 11w + -3w2 = -11w + 11w + 3w2 + -3w2 Combine like terms: -11w + 11w = 0 144 + 11w + -3w2 = 0 + 3w2 + -3w2 144 + 11w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 144 + 11w + -3w2 = 0 Factor a trinomial. (9 + -1w)(16 + 3w) = 0Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Subproblem 2
Set the factor '(16 + 3w)' equal to zero and attempt to solve: Simplifying 16 + 3w = 0 Solving 16 + 3w = 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 + 3w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = 0 + -16 3w = 0 + -16 Combine like terms: 0 + -16 = -16 3w = -16 Divide each side by '3'. w = -5.333333333 Simplifying w = -5.333333333Solution
w = {9, -5.333333333}
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