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Simplifying 0 = w2 + 13w + -1764 Reorder the terms: 0 = -1764 + 13w + w2 Solving 0 = -1764 + 13w + w2 Solving for variable 'w'. Combine like terms: 0 + 1764 = 1764 1764 + -13w + -1w2 = -1764 + 13w + w2 + 1764 + -13w + -1w2 Reorder the terms: 1764 + -13w + -1w2 = -1764 + 1764 + 13w + -13w + w2 + -1w2 Combine like terms: -1764 + 1764 = 0 1764 + -13w + -1w2 = 0 + 13w + -13w + w2 + -1w2 1764 + -13w + -1w2 = 13w + -13w + w2 + -1w2 Combine like terms: 13w + -13w = 0 1764 + -13w + -1w2 = 0 + w2 + -1w2 1764 + -13w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 1764 + -13w + -1w2 = 0 Factor a trinomial. (36 + -1w)(49 + w) = 0Subproblem 1
Set the factor '(36 + -1w)' equal to zero and attempt to solve: Simplifying 36 + -1w = 0 Solving 36 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1w = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1w = 0 + -36 -1w = 0 + -36 Combine like terms: 0 + -36 = -36 -1w = -36 Divide each side by '-1'. w = 36 Simplifying w = 36Subproblem 2
Set the factor '(49 + w)' equal to zero and attempt to solve: Simplifying 49 + w = 0 Solving 49 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + w = 0 + -49 Combine like terms: 49 + -49 = 0 0 + w = 0 + -49 w = 0 + -49 Combine like terms: 0 + -49 = -49 w = -49 Simplifying w = -49Solution
w = {36, -49}
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