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Simplifying (3u + -5)(9 + u) = 0 Reorder the terms: (-5 + 3u)(9 + u) = 0 Multiply (-5 + 3u) * (9 + u) (-5(9 + u) + 3u * (9 + u)) = 0 ((9 * -5 + u * -5) + 3u * (9 + u)) = 0 ((-45 + -5u) + 3u * (9 + u)) = 0 (-45 + -5u + (9 * 3u + u * 3u)) = 0 (-45 + -5u + (27u + 3u2)) = 0 Combine like terms: -5u + 27u = 22u (-45 + 22u + 3u2) = 0 Solving -45 + 22u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(5 + -3u) = 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 '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 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 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667Solution
u = {-9, 1.666666667}
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