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Simplifying -9w2 + 6w + -1 = 0 Reorder the terms: -1 + 6w + -9w2 = 0 Solving -1 + 6w + -9w2 = 0 Solving for variable 'w'. Factor a trinomial. (-1 + 3w)(1 + -3w) = 0Subproblem 1
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 = 0.3333333333Subproblem 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 = {0.3333333333, 0.3333333333}
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