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Simplifying u2 + -4u + -77 = 0 Reorder the terms: -77 + -4u + u2 = 0 Solving -77 + -4u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -1u)(11 + -1u) = 0Subproblem 1
Set the factor '(-7 + -1u)' equal to zero and attempt to solve: Simplifying -7 + -1u = 0 Solving -7 + -1u = 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 + -1u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1u = 0 + 7 -1u = 0 + 7 Combine like terms: 0 + 7 = 7 -1u = 7 Divide each side by '-1'. u = -7 Simplifying u = -7Subproblem 2
Set the factor '(11 + -1u)' equal to zero and attempt to solve: Simplifying 11 + -1u = 0 Solving 11 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1u = 0 + -11 -1u = 0 + -11 Combine like terms: 0 + -11 = -11 -1u = -11 Divide each side by '-1'. u = 11 Simplifying u = 11Solution
u = {-7, 11}
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