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Simplifying 2w2 + 1w + -55 = 0 Reorder the terms: -55 + 1w + 2w2 = 0 Solving -55 + 1w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-11 + -2w)(5 + -1w) = 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 '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-5.5, 5}
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