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Simplifying 2w2 + 13w + 11 = 0 Reorder the terms: 11 + 13w + 2w2 = 0 Solving 11 + 13w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (11 + 2w)(1 + w) = 0Subproblem 1
Set the factor '(11 + 2w)' equal to zero and attempt to solve: Simplifying 11 + 2w = 0 Solving 11 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2w = 0 + -11 2w = 0 + -11 Combine like terms: 0 + -11 = -11 2w = -11 Divide each side by '2'. w = -5.5 Simplifying w = -5.5Subproblem 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 = {-5.5, -1}
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