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Simplifying 3u2 + -5u + -3 = 25 Reorder the terms: -3 + -5u + 3u2 = 25 Solving -3 + -5u + 3u2 = 25 Solving for variable 'u'. Reorder the terms: -3 + -25 + -5u + 3u2 = 25 + -25 Combine like terms: -3 + -25 = -28 -28 + -5u + 3u2 = 25 + -25 Combine like terms: 25 + -25 = 0 -28 + -5u + 3u2 = 0 Factor a trinomial. (-7 + -3u)(4 + -1u) = 0Subproblem 1
Set the factor '(-7 + -3u)' equal to zero and attempt to solve: Simplifying -7 + -3u = 0 Solving -7 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3u = 0 + 7 -3u = 0 + 7 Combine like terms: 0 + 7 = 7 -3u = 7 Divide each side by '-3'. u = -2.333333333 Simplifying u = -2.333333333Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 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 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-2.333333333, 4}
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