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Simplifying 2w2 + -11w + 10 = -2 Reorder the terms: 10 + -11w + 2w2 = -2 Solving 10 + -11w + 2w2 = -2 Solving for variable 'w'. Reorder the terms: 10 + 2 + -11w + 2w2 = -2 + 2 Combine like terms: 10 + 2 = 12 12 + -11w + 2w2 = -2 + 2 Combine like terms: -2 + 2 = 0 12 + -11w + 2w2 = 0 Factor a trinomial. (3 + -2w)(4 + -1w) = 0Subproblem 1
Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 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 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {1.5, 4}
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