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Simplifying (4u + -3)(9 + u) = 0 Reorder the terms: (-3 + 4u)(9 + u) = 0 Multiply (-3 + 4u) * (9 + u) (-3(9 + u) + 4u * (9 + u)) = 0 ((9 * -3 + u * -3) + 4u * (9 + u)) = 0 ((-27 + -3u) + 4u * (9 + u)) = 0 (-27 + -3u + (9 * 4u + u * 4u)) = 0 (-27 + -3u + (36u + 4u2)) = 0 Combine like terms: -3u + 36u = 33u (-27 + 33u + 4u2) = 0 Solving -27 + 33u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(3 + -4u) = 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 '(3 + -4u)' equal to zero and attempt to solve: Simplifying 3 + -4u = 0 Solving 3 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4u = 0 + -3 -4u = 0 + -3 Combine like terms: 0 + -3 = -3 -4u = -3 Divide each side by '-4'. u = 0.75 Simplifying u = 0.75Solution
u = {-9, 0.75}
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