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Simplifying (5u + 2)(9 + -1u) = 0 Reorder the terms: (2 + 5u)(9 + -1u) = 0 Multiply (2 + 5u) * (9 + -1u) (2(9 + -1u) + 5u * (9 + -1u)) = 0 ((9 * 2 + -1u * 2) + 5u * (9 + -1u)) = 0 ((18 + -2u) + 5u * (9 + -1u)) = 0 (18 + -2u + (9 * 5u + -1u * 5u)) = 0 (18 + -2u + (45u + -5u2)) = 0 Combine like terms: -2u + 45u = 43u (18 + 43u + -5u2) = 0 Solving 18 + 43u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -1u)(2 + 5u) = 0Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 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 = {9, -0.4}
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