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Simplifying 9w = -9w2 + -2 Reorder the terms: 9w = -2 + -9w2 Solving 9w = -2 + -9w2 Solving for variable 'w'. Reorder the terms: 2 + 9w + 9w2 = -2 + -9w2 + 2 + 9w2 Reorder the terms: 2 + 9w + 9w2 = -2 + 2 + -9w2 + 9w2 Combine like terms: -2 + 2 = 0 2 + 9w + 9w2 = 0 + -9w2 + 9w2 2 + 9w + 9w2 = -9w2 + 9w2 Combine like terms: -9w2 + 9w2 = 0 2 + 9w + 9w2 = 0 Factor a trinomial. (2 + 3w)(1 + 3w) = 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 '(1 + 3w)' equal to zero and attempt to solve: Simplifying 1 + 3w = 0 Solving 1 + 3w = 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 + 3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 0 + -1 3w = 0 + -1 Combine like terms: 0 + -1 = -1 3w = -1 Divide each side by '3'. w = -0.3333333333 Simplifying w = -0.3333333333Solution
w = {-0.6666666667, -0.3333333333}
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