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Simplifying (u + -9)(u + 1) = 0 Reorder the terms: (-9 + u)(u + 1) = 0 Reorder the terms: (-9 + u)(1 + u) = 0 Multiply (-9 + u) * (1 + u) (-9(1 + u) + u(1 + u)) = 0 ((1 * -9 + u * -9) + u(1 + u)) = 0 ((-9 + -9u) + u(1 + u)) = 0 (-9 + -9u + (1 * u + u * u)) = 0 (-9 + -9u + (1u + u2)) = 0 Combine like terms: -9u + 1u = -8u (-9 + -8u + u2) = 0 Solving -9 + -8u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -1u)(9 + -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 '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Solution
u = {-1, 9}
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