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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. (5 + w)(2 + 3w) = 0Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 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 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 2
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 = -0.6666666667Solution
w = {-5, -0.6666666667}
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