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Simplifying (8 + -1u)(2u + 1) = 0 Reorder the terms: (8 + -1u)(1 + 2u) = 0 Multiply (8 + -1u) * (1 + 2u) (8(1 + 2u) + -1u * (1 + 2u)) = 0 ((1 * 8 + 2u * 8) + -1u * (1 + 2u)) = 0 ((8 + 16u) + -1u * (1 + 2u)) = 0 (8 + 16u + (1 * -1u + 2u * -1u)) = 0 (8 + 16u + (-1u + -2u2)) = 0 Combine like terms: 16u + -1u = 15u (8 + 15u + -2u2) = 0 Solving 8 + 15u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + -1u)(1 + 2u) = 0Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 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 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. 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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