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Simplifying (3u + -4)(9 + u) = 0 Reorder the terms: (-4 + 3u)(9 + u) = 0 Multiply (-4 + 3u) * (9 + u) (-4(9 + u) + 3u * (9 + u)) = 0 ((9 * -4 + u * -4) + 3u * (9 + u)) = 0 ((-36 + -4u) + 3u * (9 + u)) = 0 (-36 + -4u + (9 * 3u + u * 3u)) = 0 (-36 + -4u + (27u + 3u2)) = 0 Combine like terms: -4u + 27u = 23u (-36 + 23u + 3u2) = 0 Solving -36 + 23u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(4 + -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 '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 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 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333Solution
u = {-9, 1.333333333}
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