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Simplifying (u + -1)(u + -1) = 2u2 + u + -17 Reorder the terms: (-1 + u)(u + -1) = 2u2 + u + -17 Reorder the terms: (-1 + u)(-1 + u) = 2u2 + u + -17 Multiply (-1 + u) * (-1 + u) (-1(-1 + u) + u(-1 + u)) = 2u2 + u + -17 ((-1 * -1 + u * -1) + u(-1 + u)) = 2u2 + u + -17 ((1 + -1u) + u(-1 + u)) = 2u2 + u + -17 (1 + -1u + (-1 * u + u * u)) = 2u2 + u + -17 (1 + -1u + (-1u + u2)) = 2u2 + u + -17 Combine like terms: -1u + -1u = -2u (1 + -2u + u2) = 2u2 + u + -17 Reorder the terms: 1 + -2u + u2 = -17 + u + 2u2 Solving 1 + -2u + u2 = -17 + u + 2u2 Solving for variable 'u'. Reorder the terms: 1 + 17 + -2u + -1u + u2 + -2u2 = -17 + u + 2u2 + 17 + -1u + -2u2 Combine like terms: 1 + 17 = 18 18 + -2u + -1u + u2 + -2u2 = -17 + u + 2u2 + 17 + -1u + -2u2 Combine like terms: -2u + -1u = -3u 18 + -3u + u2 + -2u2 = -17 + u + 2u2 + 17 + -1u + -2u2 Combine like terms: u2 + -2u2 = -1u2 18 + -3u + -1u2 = -17 + u + 2u2 + 17 + -1u + -2u2 Reorder the terms: 18 + -3u + -1u2 = -17 + 17 + u + -1u + 2u2 + -2u2 Combine like terms: -17 + 17 = 0 18 + -3u + -1u2 = 0 + u + -1u + 2u2 + -2u2 18 + -3u + -1u2 = u + -1u + 2u2 + -2u2 Combine like terms: u + -1u = 0 18 + -3u + -1u2 = 0 + 2u2 + -2u2 18 + -3u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 18 + -3u + -1u2 = 0 Factor a trinomial. (3 + -1u)(6 + u) = 0Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Subproblem 2
Set the factor '(6 + u)' equal to zero and attempt to solve: Simplifying 6 + u = 0 Solving 6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + u = 0 + -6 u = 0 + -6 Combine like terms: 0 + -6 = -6 u = -6 Simplifying u = -6Solution
u = {3, -6}
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