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Simplifying (2u + 5)(4u + 19) = 0 Reorder the terms: (5 + 2u)(4u + 19) = 0 Reorder the terms: (5 + 2u)(19 + 4u) = 0 Multiply (5 + 2u) * (19 + 4u) (5(19 + 4u) + 2u * (19 + 4u)) = 0 ((19 * 5 + 4u * 5) + 2u * (19 + 4u)) = 0 ((95 + 20u) + 2u * (19 + 4u)) = 0 (95 + 20u + (19 * 2u + 4u * 2u)) = 0 (95 + 20u + (38u + 8u2)) = 0 Combine like terms: 20u + 38u = 58u (95 + 58u + 8u2) = 0 Solving 95 + 58u + 8u2 = 0 Solving for variable 'u'. Factor a trinomial. (19 + 4u)(5 + 2u) = 0Subproblem 1
Set the factor '(19 + 4u)' equal to zero and attempt to solve: Simplifying 19 + 4u = 0 Solving 19 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4u = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4u = 0 + -19 4u = 0 + -19 Combine like terms: 0 + -19 = -19 4u = -19 Divide each side by '4'. u = -4.75 Simplifying u = -4.75Subproblem 2
Set the factor '(5 + 2u)' equal to zero and attempt to solve: Simplifying 5 + 2u = 0 Solving 5 + 2u = 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 + 2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2u = 0 + -5 2u = 0 + -5 Combine like terms: 0 + -5 = -5 2u = -5 Divide each side by '2'. u = -2.5 Simplifying u = -2.5Solution
u = {-4.75, -2.5}
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