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Simplifying (u + -3)(u + -3) = 2u2 + -9u + -9 Reorder the terms: (-3 + u)(u + -3) = 2u2 + -9u + -9 Reorder the terms: (-3 + u)(-3 + u) = 2u2 + -9u + -9 Multiply (-3 + u) * (-3 + u) (-3(-3 + u) + u(-3 + u)) = 2u2 + -9u + -9 ((-3 * -3 + u * -3) + u(-3 + u)) = 2u2 + -9u + -9 ((9 + -3u) + u(-3 + u)) = 2u2 + -9u + -9 (9 + -3u + (-3 * u + u * u)) = 2u2 + -9u + -9 (9 + -3u + (-3u + u2)) = 2u2 + -9u + -9 Combine like terms: -3u + -3u = -6u (9 + -6u + u2) = 2u2 + -9u + -9 Reorder the terms: 9 + -6u + u2 = -9 + -9u + 2u2 Solving 9 + -6u + u2 = -9 + -9u + 2u2 Solving for variable 'u'. Reorder the terms: 9 + 9 + -6u + 9u + u2 + -2u2 = -9 + -9u + 2u2 + 9 + 9u + -2u2 Combine like terms: 9 + 9 = 18 18 + -6u + 9u + u2 + -2u2 = -9 + -9u + 2u2 + 9 + 9u + -2u2 Combine like terms: -6u + 9u = 3u 18 + 3u + u2 + -2u2 = -9 + -9u + 2u2 + 9 + 9u + -2u2 Combine like terms: u2 + -2u2 = -1u2 18 + 3u + -1u2 = -9 + -9u + 2u2 + 9 + 9u + -2u2 Reorder the terms: 18 + 3u + -1u2 = -9 + 9 + -9u + 9u + 2u2 + -2u2 Combine like terms: -9 + 9 = 0 18 + 3u + -1u2 = 0 + -9u + 9u + 2u2 + -2u2 18 + 3u + -1u2 = -9u + 9u + 2u2 + -2u2 Combine like terms: -9u + 9u = 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. (6 + -1u)(3 + u) = 0Subproblem 1
Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 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 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Subproblem 2
Set the factor '(3 + u)' equal to zero and attempt to solve: Simplifying 3 + u = 0 Solving 3 + u = 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 + u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + u = 0 + -3 u = 0 + -3 Combine like terms: 0 + -3 = -3 u = -3 Simplifying u = -3Solution
u = {6, -3}
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