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Simplifying 38 = w2 + 17w Reorder the terms: 38 = 17w + w2 Solving 38 = 17w + w2 Solving for variable 'w'. Reorder the terms: 38 + -17w + -1w2 = 17w + -17w + w2 + -1w2 Combine like terms: 17w + -17w = 0 38 + -17w + -1w2 = 0 + w2 + -1w2 38 + -17w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 38 + -17w + -1w2 = 0 Factor a trinomial. (2 + -1w)(19 + w) = 0Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Subproblem 2
Set the factor '(19 + w)' equal to zero and attempt to solve: Simplifying 19 + w = 0 Solving 19 + w = 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 + w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + w = 0 + -19 w = 0 + -19 Combine like terms: 0 + -19 = -19 w = -19 Simplifying w = -19Solution
w = {2, -19}
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