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