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Simplifying 9w2 + 18w = -8 Reorder the terms: 18w + 9w2 = -8 Solving 18w + 9w2 = -8 Solving for variable 'w'. Reorder the terms: 8 + 18w + 9w2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 18w + 9w2 = 0 Factor a trinomial. (4 + 3w)(2 + 3w) = 0Subproblem 1
Set the factor '(4 + 3w)' equal to zero and attempt to solve: Simplifying 4 + 3w = 0 Solving 4 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 0 + -4 3w = 0 + -4 Combine like terms: 0 + -4 = -4 3w = -4 Divide each side by '3'. w = -1.333333333 Simplifying w = -1.333333333Subproblem 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 = {-1.333333333, -0.6666666667}
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