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Simplifying (u + 8)(u + 4) = 0 Reorder the terms: (8 + u)(u + 4) = 0 Reorder the terms: (8 + u)(4 + u) = 0 Multiply (8 + u) * (4 + u) (8(4 + u) + u(4 + u)) = 0 ((4 * 8 + u * 8) + u(4 + u)) = 0 ((32 + 8u) + u(4 + u)) = 0 (32 + 8u + (4 * u + u * u)) = 0 (32 + 8u + (4u + u2)) = 0 Combine like terms: 8u + 4u = 12u (32 + 12u + u2) = 0 Solving 32 + 12u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(4 + u) = 0Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve: Simplifying 8 + u = 0 Solving 8 + u = 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 + u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u = 0 + -8 u = 0 + -8 Combine like terms: 0 + -8 = -8 u = -8 Simplifying u = -8Subproblem 2
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Solution
u = {-8, -4}
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