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Simplifying u2 + -35u + -200 = 0 Reorder the terms: -200 + -35u + u2 = 0 Solving -200 + -35u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -1u)(40 + -1u) = 0Subproblem 1
Set the factor '(-5 + -1u)' equal to zero and attempt to solve: Simplifying -5 + -1u = 0 Solving -5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1u = 0 + 5 -1u = 0 + 5 Combine like terms: 0 + 5 = 5 -1u = 5 Divide each side by '-1'. u = -5 Simplifying u = -5Subproblem 2
Set the factor '(40 + -1u)' equal to zero and attempt to solve: Simplifying 40 + -1u = 0 Solving 40 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1u = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1u = 0 + -40 -1u = 0 + -40 Combine like terms: 0 + -40 = -40 -1u = -40 Divide each side by '-1'. u = 40 Simplifying u = 40Solution
u = {-5, 40}
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