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Simplifying (u + 1)(u + 7) = 0 Reorder the terms: (1 + u)(u + 7) = 0 Reorder the terms: (1 + u)(7 + u) = 0 Multiply (1 + u) * (7 + u) (1(7 + u) + u(7 + u)) = 0 ((7 * 1 + u * 1) + u(7 + u)) = 0 ((7 + 1u) + u(7 + u)) = 0 (7 + 1u + (7 * u + u * u)) = 0 (7 + 1u + (7u + u2)) = 0 Combine like terms: 1u + 7u = 8u (7 + 8u + u2) = 0 Solving 7 + 8u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(1 + u) = 0Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {-7, -1}
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