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Simplifying (5u + 8)(2 + -1u) = 0 Reorder the terms: (8 + 5u)(2 + -1u) = 0 Multiply (8 + 5u) * (2 + -1u) (8(2 + -1u) + 5u * (2 + -1u)) = 0 ((2 * 8 + -1u * 8) + 5u * (2 + -1u)) = 0 ((16 + -8u) + 5u * (2 + -1u)) = 0 (16 + -8u + (2 * 5u + -1u * 5u)) = 0 (16 + -8u + (10u + -5u2)) = 0 Combine like terms: -8u + 10u = 2u (16 + 2u + -5u2) = 0 Solving 16 + 2u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + -1u)(8 + 5u) = 0Subproblem 1
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Subproblem 2
Set the factor '(8 + 5u)' equal to zero and attempt to solve: Simplifying 8 + 5u = 0 Solving 8 + 5u = 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 + 5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5u = 0 + -8 5u = 0 + -8 Combine like terms: 0 + -8 = -8 5u = -8 Divide each side by '5'. u = -1.6 Simplifying u = -1.6Solution
u = {2, -1.6}
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