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Simplifying (u + 3)(u + -1) = 0 Reorder the terms: (3 + u)(u + -1) = 0 Reorder the terms: (3 + u)(-1 + u) = 0 Multiply (3 + u) * (-1 + u) (3(-1 + u) + u(-1 + u)) = 0 ((-1 * 3 + u * 3) + u(-1 + u)) = 0 ((-3 + 3u) + u(-1 + u)) = 0 (-3 + 3u + (-1 * u + u * u)) = 0 (-3 + 3u + (-1u + u2)) = 0 Combine like terms: 3u + -1u = 2u (-3 + 2u + u2) = 0 Solving -3 + 2u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + -1u)(1 + -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 '(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 = 1Solution
u = {-3, 1}
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