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Simplifying (4u + -3)(9 + -1u) = 0 Reorder the terms: (-3 + 4u)(9 + -1u) = 0 Multiply (-3 + 4u) * (9 + -1u) (-3(9 + -1u) + 4u * (9 + -1u)) = 0 ((9 * -3 + -1u * -3) + 4u * (9 + -1u)) = 0 ((-27 + 3u) + 4u * (9 + -1u)) = 0 (-27 + 3u + (9 * 4u + -1u * 4u)) = 0 (-27 + 3u + (36u + -4u2)) = 0 Combine like terms: 3u + 36u = 39u (-27 + 39u + -4u2) = 0 Solving -27 + 39u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + u)(3 + -4u) = 0Subproblem 1
Set the factor '(-9 + u)' equal to zero and attempt to solve: Simplifying -9 + u = 0 Solving -9 + u = 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 + u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + u = 0 + 9 u = 0 + 9 Combine like terms: 0 + 9 = 9 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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