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Simplifying (8 + u)(4u + 2) = 0 Reorder the terms: (8 + u)(2 + 4u) = 0 Multiply (8 + u) * (2 + 4u) (8(2 + 4u) + u(2 + 4u)) = 0 ((2 * 8 + 4u * 8) + u(2 + 4u)) = 0 ((16 + 32u) + u(2 + 4u)) = 0 (16 + 32u + (2 * u + 4u * u)) = 0 (16 + 32u + (2u + 4u2)) = 0 Combine like terms: 32u + 2u = 34u (16 + 34u + 4u2) = 0 Solving 16 + 34u + 4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 17u + 2u2) = 0 Factor a trinomial. 2((8 + u)(1 + 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 '(1 + 2u)' equal to zero and attempt to solve: Simplifying 1 + 2u = 0 Solving 1 + 2u = 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 + 2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2u = 0 + -1 2u = 0 + -1 Combine like terms: 0 + -1 = -1 2u = -1 Divide each side by '2'. u = -0.5 Simplifying u = -0.5Solution
u = {-8, -0.5}
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