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