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Simplifying (u + -5)(u + 3) = 0 Reorder the terms: (-5 + u)(u + 3) = 0 Reorder the terms: (-5 + u)(3 + u) = 0 Multiply (-5 + u) * (3 + u) (-5(3 + u) + u(3 + u)) = 0 ((3 * -5 + u * -5) + u(3 + u)) = 0 ((-15 + -5u) + u(3 + u)) = 0 (-15 + -5u + (3 * u + u * u)) = 0 (-15 + -5u + (3u + u2)) = 0 Combine like terms: -5u + 3u = -2u (-15 + -2u + u2) = 0 Solving -15 + -2u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + -1u)(5 + -1u) = 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 '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {-3, 5}
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