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Simplifying (3u + -4)(2 + -1u) = 0 Reorder the terms: (-4 + 3u)(2 + -1u) = 0 Multiply (-4 + 3u) * (2 + -1u) (-4(2 + -1u) + 3u * (2 + -1u)) = 0 ((2 * -4 + -1u * -4) + 3u * (2 + -1u)) = 0 ((-8 + 4u) + 3u * (2 + -1u)) = 0 (-8 + 4u + (2 * 3u + -1u * 3u)) = 0 (-8 + 4u + (6u + -3u2)) = 0 Combine like terms: 4u + 6u = 10u (-8 + 10u + -3u2) = 0 Solving -8 + 10u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + u)(4 + -3u) = 0Subproblem 1
Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2Subproblem 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 = {2, 1.333333333}
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