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Simplifying (6u2) + -1u + -7 = 0 Reorder the terms: -7 + -1u + (6u2) = 0 Solving -7 + -1u + (6u2) = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -1u)(7 + -6u) = 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 '(7 + -6u)' equal to zero and attempt to solve: Simplifying 7 + -6u = 0 Solving 7 + -6u = 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 + -6u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6u = 0 + -7 -6u = 0 + -7 Combine like terms: 0 + -7 = -7 -6u = -7 Divide each side by '-6'. u = 1.166666667 Simplifying u = 1.166666667Solution
u = {-1, 1.166666667}
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