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Simplifying 15u2 + -14u = 49 Reorder the terms: -14u + 15u2 = 49 Solving -14u + 15u2 = 49 Solving for variable 'u'. Reorder the terms: -49 + -14u + 15u2 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + -14u + 15u2 = 0 Factor a trinomial. (-7 + -5u)(7 + -3u) = 0Subproblem 1
Set the factor '(-7 + -5u)' equal to zero and attempt to solve: Simplifying -7 + -5u = 0 Solving -7 + -5u = 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 + -5u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5u = 0 + 7 -5u = 0 + 7 Combine like terms: 0 + 7 = 7 -5u = 7 Divide each side by '-5'. u = -1.4 Simplifying u = -1.4Subproblem 2
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 = 2.333333333Solution
u = {-1.4, 2.333333333}
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