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Simplifying (8 + -1u)(5u + 9) = 0 Reorder the terms: (8 + -1u)(9 + 5u) = 0 Multiply (8 + -1u) * (9 + 5u) (8(9 + 5u) + -1u * (9 + 5u)) = 0 ((9 * 8 + 5u * 8) + -1u * (9 + 5u)) = 0 ((72 + 40u) + -1u * (9 + 5u)) = 0 (72 + 40u + (9 * -1u + 5u * -1u)) = 0 (72 + 40u + (-9u + -5u2)) = 0 Combine like terms: 40u + -9u = 31u (72 + 31u + -5u2) = 0 Solving 72 + 31u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + -1u)(9 + 5u) = 0Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 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 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8Subproblem 2
Set the factor '(9 + 5u)' equal to zero and attempt to solve: Simplifying 9 + 5u = 0 Solving 9 + 5u = 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 + 5u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5u = 0 + -9 5u = 0 + -9 Combine like terms: 0 + -9 = -9 5u = -9 Divide each side by '5'. u = -1.8 Simplifying u = -1.8Solution
u = {8, -1.8}
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