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Simplifying 2w2 + -3w + -209 = 0 Reorder the terms: -209 + -3w + 2w2 = 0 Solving -209 + -3w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-19 + -2w)(11 + -1w) = 0Subproblem 1
Set the factor '(-19 + -2w)' equal to zero and attempt to solve: Simplifying -19 + -2w = 0 Solving -19 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -2w = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -2w = 0 + 19 -2w = 0 + 19 Combine like terms: 0 + 19 = 19 -2w = 19 Divide each side by '-2'. w = -9.5 Simplifying w = -9.5Subproblem 2
Set the factor '(11 + -1w)' equal to zero and attempt to solve: Simplifying 11 + -1w = 0 Solving 11 + -1w = 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 + -1w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1w = 0 + -11 -1w = 0 + -11 Combine like terms: 0 + -11 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11Solution
w = {-9.5, 11}
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