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Simplifying (5u + -7)(1 + -1u) = 0 Reorder the terms: (-7 + 5u)(1 + -1u) = 0 Multiply (-7 + 5u) * (1 + -1u) (-7(1 + -1u) + 5u * (1 + -1u)) = 0 ((1 * -7 + -1u * -7) + 5u * (1 + -1u)) = 0 ((-7 + 7u) + 5u * (1 + -1u)) = 0 (-7 + 7u + (1 * 5u + -1u * 5u)) = 0 (-7 + 7u + (5u + -5u2)) = 0 Combine like terms: 7u + 5u = 12u (-7 + 12u + -5u2) = 0 Solving -7 + 12u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + 5u)(1 + -1u) = 0Subproblem 1
Set the factor '(-7 + 5u)' equal to zero and attempt to solve: Simplifying -7 + 5u = 0 Solving -7 + 5u = 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 + 5u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5u = 0 + 7 5u = 0 + 7 Combine like terms: 0 + 7 = 7 5u = 7 Divide each side by '5'. u = 1.4 Simplifying u = 1.4Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {1.4, 1}
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