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Simplifying (4 + -1u)(2u + 5) = 0 Reorder the terms: (4 + -1u)(5 + 2u) = 0 Multiply (4 + -1u) * (5 + 2u) (4(5 + 2u) + -1u * (5 + 2u)) = 0 ((5 * 4 + 2u * 4) + -1u * (5 + 2u)) = 0 ((20 + 8u) + -1u * (5 + 2u)) = 0 (20 + 8u + (5 * -1u + 2u * -1u)) = 0 (20 + 8u + (-5u + -2u2)) = 0 Combine like terms: 8u + -5u = 3u (20 + 3u + -2u2) = 0 Solving 20 + 3u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + -1u)(5 + 2u) = 0Subproblem 1
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Subproblem 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, -2.5}
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