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Simplifying u2 + -72u + 1271 = 0 Reorder the terms: 1271 + -72u + u2 = 0 Solving 1271 + -72u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (31 + -1u)(41 + -1u) = 0Subproblem 1
Set the factor '(31 + -1u)' equal to zero and attempt to solve: Simplifying 31 + -1u = 0 Solving 31 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1u = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1u = 0 + -31 -1u = 0 + -31 Combine like terms: 0 + -31 = -31 -1u = -31 Divide each side by '-1'. u = 31 Simplifying u = 31Subproblem 2
Set the factor '(41 + -1u)' equal to zero and attempt to solve: Simplifying 41 + -1u = 0 Solving 41 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1u = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -1u = 0 + -41 -1u = 0 + -41 Combine like terms: 0 + -41 = -41 -1u = -41 Divide each side by '-1'. u = 41 Simplifying u = 41Solution
u = {31, 41}
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