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Simplifying 8w = 3w2 + -3 Reorder the terms: 8w = -3 + 3w2 Solving 8w = -3 + 3w2 Solving for variable 'w'. Reorder the terms: 3 + 8w + -3w2 = -3 + 3w2 + 3 + -3w2 Reorder the terms: 3 + 8w + -3w2 = -3 + 3 + 3w2 + -3w2 Combine like terms: -3 + 3 = 0 3 + 8w + -3w2 = 0 + 3w2 + -3w2 3 + 8w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 3 + 8w + -3w2 = 0 Factor a trinomial. (3 + -1w)(1 + 3w) = 0Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Subproblem 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 = {3, -0.3333333333}
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