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Simplifying (8 + u)(5u + 2) = 0 Reorder the terms: (8 + u)(2 + 5u) = 0 Multiply (8 + u) * (2 + 5u) (8(2 + 5u) + u(2 + 5u)) = 0 ((2 * 8 + 5u * 8) + u(2 + 5u)) = 0 ((16 + 40u) + u(2 + 5u)) = 0 (16 + 40u + (2 * u + 5u * u)) = 0 (16 + 40u + (2u + 5u2)) = 0 Combine like terms: 40u + 2u = 42u (16 + 42u + 5u2) = 0 Solving 16 + 42u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(2 + 5u) = 0Subproblem 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 '(2 + 5u)' equal to zero and attempt to solve: Simplifying 2 + 5u = 0 Solving 2 + 5u = 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 + 5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5u = 0 + -2 5u = 0 + -2 Combine like terms: 0 + -2 = -2 5u = -2 Divide each side by '5'. u = -0.4 Simplifying u = -0.4Solution
u = {-8, -0.4}
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