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Simplifying (8 + u)(4u + 6) = 0 Reorder the terms: (8 + u)(6 + 4u) = 0 Multiply (8 + u) * (6 + 4u) (8(6 + 4u) + u(6 + 4u)) = 0 ((6 * 8 + 4u * 8) + u(6 + 4u)) = 0 ((48 + 32u) + u(6 + 4u)) = 0 (48 + 32u + (6 * u + 4u * u)) = 0 (48 + 32u + (6u + 4u2)) = 0 Combine like terms: 32u + 6u = 38u (48 + 38u + 4u2) = 0 Solving 48 + 38u + 4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + 19u + 2u2) = 0 Factor a trinomial. 2((8 + u)(3 + 2u)) = 0 Ignore the factor 2.Subproblem 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 '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 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 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Solution
u = {-8, -1.5}
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