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Simplifying (2u + -5)(7 + -1u) = 0 Reorder the terms: (-5 + 2u)(7 + -1u) = 0 Multiply (-5 + 2u) * (7 + -1u) (-5(7 + -1u) + 2u * (7 + -1u)) = 0 ((7 * -5 + -1u * -5) + 2u * (7 + -1u)) = 0 ((-35 + 5u) + 2u * (7 + -1u)) = 0 (-35 + 5u + (7 * 2u + -1u * 2u)) = 0 (-35 + 5u + (14u + -2u2)) = 0 Combine like terms: 5u + 14u = 19u (-35 + 19u + -2u2) = 0 Solving -35 + 19u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + u)(5 + -2u) = 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 + -2u)' equal to zero and attempt to solve: Simplifying 5 + -2u = 0 Solving 5 + -2u = 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 + -2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2u = 0 + -5 -2u = 0 + -5 Combine like terms: 0 + -5 = -5 -2u = -5 Divide each side by '-2'. u = 2.5 Simplifying u = 2.5Solution
u = {7, 2.5}
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