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Simplifying 6u2 + 7u = 20 Reorder the terms: 7u + 6u2 = 20 Solving 7u + 6u2 = 20 Solving for variable 'u'. Reorder the terms: -20 + 7u + 6u2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 7u + 6u2 = 0 Factor a trinomial. (-5 + -2u)(4 + -3u) = 0Subproblem 1
Set the factor '(-5 + -2u)' equal to zero and attempt to solve: Simplifying -5 + -2u = 0 Solving -5 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2u = 0 + 5 -2u = 0 + 5 Combine like terms: 0 + 5 = 5 -2u = 5 Divide each side by '-2'. u = -2.5 Simplifying u = -2.5Subproblem 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 = {-2.5, 1.333333333}
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