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Simplifying 3w2 + 2w = 85 Reorder the terms: 2w + 3w2 = 85 Solving 2w + 3w2 = 85 Solving for variable 'w'. Reorder the terms: -85 + 2w + 3w2 = 85 + -85 Combine like terms: 85 + -85 = 0 -85 + 2w + 3w2 = 0 Factor a trinomial. (-17 + -3w)(5 + -1w) = 0Subproblem 1
Set the factor '(-17 + -3w)' equal to zero and attempt to solve: Simplifying -17 + -3w = 0 Solving -17 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3w = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3w = 0 + 17 -3w = 0 + 17 Combine like terms: 0 + 17 = 17 -3w = 17 Divide each side by '-3'. w = -5.666666667 Simplifying w = -5.666666667Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-5.666666667, 5}
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