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Simplifying w * w + 21w = -104 Multiply w * w w2 + 21w = -104 Reorder the terms: 21w + w2 = -104 Solving 21w + w2 = -104 Solving for variable 'w'. Reorder the terms: 104 + 21w + w2 = -104 + 104 Combine like terms: -104 + 104 = 0 104 + 21w + w2 = 0 Factor a trinomial. (13 + w)(8 + w) = 0Subproblem 1
Set the factor '(13 + w)' equal to zero and attempt to solve: Simplifying 13 + w = 0 Solving 13 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + w = 0 + -13 w = 0 + -13 Combine like terms: 0 + -13 = -13 w = -13 Simplifying w = -13Subproblem 2
Set the factor '(8 + w)' equal to zero and attempt to solve: Simplifying 8 + w = 0 Solving 8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + w = 0 + -8 w = 0 + -8 Combine like terms: 0 + -8 = -8 w = -8 Simplifying w = -8Solution
w = {-13, -8}
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