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Simplifying 5u2 = 7u + 6 Reorder the terms: 5u2 = 6 + 7u Solving 5u2 = 6 + 7u Solving for variable 'u'. Reorder the terms: -6 + -7u + 5u2 = 6 + 7u + -6 + -7u Reorder the terms: -6 + -7u + 5u2 = 6 + -6 + 7u + -7u Combine like terms: 6 + -6 = 0 -6 + -7u + 5u2 = 0 + 7u + -7u -6 + -7u + 5u2 = 7u + -7u Combine like terms: 7u + -7u = 0 -6 + -7u + 5u2 = 0 Factor a trinomial. (-3 + -5u)(2 + -1u) = 0Subproblem 1
Set the factor '(-3 + -5u)' equal to zero and attempt to solve: Simplifying -3 + -5u = 0 Solving -3 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5u = 0 + 3 -5u = 0 + 3 Combine like terms: 0 + 3 = 3 -5u = 3 Divide each side by '-5'. u = -0.6 Simplifying u = -0.6Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {-0.6, 2}
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