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Simplifying (2u + 1)(5 + -1u) = 0 Reorder the terms: (1 + 2u)(5 + -1u) = 0 Multiply (1 + 2u) * (5 + -1u) (1(5 + -1u) + 2u * (5 + -1u)) = 0 ((5 * 1 + -1u * 1) + 2u * (5 + -1u)) = 0 ((5 + -1u) + 2u * (5 + -1u)) = 0 (5 + -1u + (5 * 2u + -1u * 2u)) = 0 (5 + -1u + (10u + -2u2)) = 0 Combine like terms: -1u + 10u = 9u (5 + 9u + -2u2) = 0 Solving 5 + 9u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -1u)(1 + 2u) = 0Subproblem 1
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Subproblem 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 = {5, -0.5}
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