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Simplifying 3w2 = -8w + -5 Reorder the terms: 3w2 = -5 + -8w Solving 3w2 = -5 + -8w Solving for variable 'w'. Reorder the terms: 5 + 8w + 3w2 = -5 + -8w + 5 + 8w Reorder the terms: 5 + 8w + 3w2 = -5 + 5 + -8w + 8w Combine like terms: -5 + 5 = 0 5 + 8w + 3w2 = 0 + -8w + 8w 5 + 8w + 3w2 = -8w + 8w Combine like terms: -8w + 8w = 0 5 + 8w + 3w2 = 0 Factor a trinomial. (5 + 3w)(1 + w) = 0Subproblem 1
Set the factor '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 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 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {-1.666666667, -1}
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