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Simplifying 3w2 = 17w + -10 Reorder the terms: 3w2 = -10 + 17w Solving 3w2 = -10 + 17w Solving for variable 'w'. Reorder the terms: 10 + -17w + 3w2 = -10 + 17w + 10 + -17w Reorder the terms: 10 + -17w + 3w2 = -10 + 10 + 17w + -17w Combine like terms: -10 + 10 = 0 10 + -17w + 3w2 = 0 + 17w + -17w 10 + -17w + 3w2 = 17w + -17w Combine like terms: 17w + -17w = 0 10 + -17w + 3w2 = 0 Factor a trinomial. (2 + -3w)(5 + -1w) = 0Subproblem 1
Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667Subproblem 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 = {0.6666666667, 5}
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