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Simplifying (4u + 2)(6 + -1u) = 0 Reorder the terms: (2 + 4u)(6 + -1u) = 0 Multiply (2 + 4u) * (6 + -1u) (2(6 + -1u) + 4u * (6 + -1u)) = 0 ((6 * 2 + -1u * 2) + 4u * (6 + -1u)) = 0 ((12 + -2u) + 4u * (6 + -1u)) = 0 (12 + -2u + (6 * 4u + -1u * 4u)) = 0 (12 + -2u + (24u + -4u2)) = 0 Combine like terms: -2u + 24u = 22u (12 + 22u + -4u2) = 0 Solving 12 + 22u + -4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 11u + -2u2) = 0 Factor a trinomial. 2((6 + -1u)(1 + 2u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Subproblem 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 = {6, -0.5}
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