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Simplifying (5 + -1u)(2u + -7) = 0 Reorder the terms: (5 + -1u)(-7 + 2u) = 0 Multiply (5 + -1u) * (-7 + 2u) (5(-7 + 2u) + -1u * (-7 + 2u)) = 0 ((-7 * 5 + 2u * 5) + -1u * (-7 + 2u)) = 0 ((-35 + 10u) + -1u * (-7 + 2u)) = 0 (-35 + 10u + (-7 * -1u + 2u * -1u)) = 0 (-35 + 10u + (7u + -2u2)) = 0 Combine like terms: 10u + 7u = 17u (-35 + 17u + -2u2) = 0 Solving -35 + 17u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + u)(7 + -2u) = 0Subproblem 1
Set the factor '(-5 + u)' equal to zero and attempt to solve: Simplifying -5 + u = 0 Solving -5 + u = 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 + u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u = 0 + 5 u = 0 + 5 Combine like terms: 0 + 5 = 5 u = 5 Simplifying u = 5Subproblem 2
Set the factor '(7 + -2u)' equal to zero and attempt to solve: Simplifying 7 + -2u = 0 Solving 7 + -2u = 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 + -2u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2u = 0 + -7 -2u = 0 + -7 Combine like terms: 0 + -7 = -7 -2u = -7 Divide each side by '-2'. u = 3.5 Simplifying u = 3.5Solution
u = {5, 3.5}
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