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Simplifying (u + -5)(7 + -1u) = 0 Reorder the terms: (-5 + u)(7 + -1u) = 0 Multiply (-5 + u) * (7 + -1u) (-5(7 + -1u) + u(7 + -1u)) = 0 ((7 * -5 + -1u * -5) + u(7 + -1u)) = 0 ((-35 + 5u) + u(7 + -1u)) = 0 (-35 + 5u + (7 * u + -1u * u)) = 0 (-35 + 5u + (7u + -1u2)) = 0 Combine like terms: 5u + 7u = 12u (-35 + 12u + -1u2) = 0 Solving -35 + 12u + -1u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + u)(5 + -1u) = 0Subproblem 1
Set the factor '(-7 + u)' equal to zero and attempt to solve: Simplifying -7 + u = 0 Solving -7 + u = 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 + u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + u = 0 + 7 u = 0 + 7 Combine like terms: 0 + 7 = 7 u = 7 Simplifying u = 7Subproblem 2
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 = 5Solution
u = {7, 5}
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