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Simplifying (u + -9)(u + 6) = -50 Reorder the terms: (-9 + u)(u + 6) = -50 Reorder the terms: (-9 + u)(6 + u) = -50 Multiply (-9 + u) * (6 + u) (-9(6 + u) + u(6 + u)) = -50 ((6 * -9 + u * -9) + u(6 + u)) = -50 ((-54 + -9u) + u(6 + u)) = -50 (-54 + -9u + (6 * u + u * u)) = -50 (-54 + -9u + (6u + u2)) = -50 Combine like terms: -9u + 6u = -3u (-54 + -3u + u2) = -50 Solving -54 + -3u + u2 = -50 Solving for variable 'u'. Reorder the terms: -54 + 50 + -3u + u2 = -50 + 50 Combine like terms: -54 + 50 = -4 -4 + -3u + u2 = -50 + 50 Combine like terms: -50 + 50 = 0 -4 + -3u + u2 = 0 Factor a trinomial. (-1 + -1u)(4 + -1u) = 0Subproblem 1
Set the factor '(-1 + -1u)' equal to zero and attempt to solve: Simplifying -1 + -1u = 0 Solving -1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1u = 0 + 1 -1u = 0 + 1 Combine like terms: 0 + 1 = 1 -1u = 1 Divide each side by '-1'. u = -1 Simplifying u = -1Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-1, 4}
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