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Simplifying (u + 2)(u + -5) = 0 Reorder the terms: (2 + u)(u + -5) = 0 Reorder the terms: (2 + u)(-5 + u) = 0 Multiply (2 + u) * (-5 + u) (2(-5 + u) + u(-5 + u)) = 0 ((-5 * 2 + u * 2) + u(-5 + u)) = 0 ((-10 + 2u) + u(-5 + u)) = 0 (-10 + 2u + (-5 * u + u * u)) = 0 (-10 + 2u + (-5u + u2)) = 0 Combine like terms: 2u + -5u = -3u (-10 + -3u + u2) = 0 Solving -10 + -3u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + -1u)(5 + -1u) = 0Subproblem 1
Set the factor '(-2 + -1u)' equal to zero and attempt to solve: Simplifying -2 + -1u = 0 Solving -2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1u = 0 + 2 -1u = 0 + 2 Combine like terms: 0 + 2 = 2 -1u = 2 Divide each side by '-1'. u = -2 Simplifying u = -2Subproblem 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 = {-2, 5}
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