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Simplifying 0 = 3w2 + w + -234 Reorder the terms: 0 = -234 + w + 3w2 Solving 0 = -234 + w + 3w2 Solving for variable 'w'. Combine like terms: 0 + 234 = 234 234 + -1w + -3w2 = -234 + w + 3w2 + 234 + -1w + -3w2 Reorder the terms: 234 + -1w + -3w2 = -234 + 234 + w + -1w + 3w2 + -3w2 Combine like terms: -234 + 234 = 0 234 + -1w + -3w2 = 0 + w + -1w + 3w2 + -3w2 234 + -1w + -3w2 = w + -1w + 3w2 + -3w2 Combine like terms: w + -1w = 0 234 + -1w + -3w2 = 0 + 3w2 + -3w2 234 + -1w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 234 + -1w + -3w2 = 0 Factor a trinomial. (26 + -3w)(9 + w) = 0Subproblem 1
Set the factor '(26 + -3w)' equal to zero and attempt to solve: Simplifying 26 + -3w = 0 Solving 26 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3w = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3w = 0 + -26 -3w = 0 + -26 Combine like terms: 0 + -26 = -26 -3w = -26 Divide each side by '-3'. w = 8.666666667 Simplifying w = 8.666666667Subproblem 2
Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 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 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Solution
w = {8.666666667, -9}
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