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Simplifying (5u + 7)(3 + -1u) = 0 Reorder the terms: (7 + 5u)(3 + -1u) = 0 Multiply (7 + 5u) * (3 + -1u) (7(3 + -1u) + 5u * (3 + -1u)) = 0 ((3 * 7 + -1u * 7) + 5u * (3 + -1u)) = 0 ((21 + -7u) + 5u * (3 + -1u)) = 0 (21 + -7u + (3 * 5u + -1u * 5u)) = 0 (21 + -7u + (15u + -5u2)) = 0 Combine like terms: -7u + 15u = 8u (21 + 8u + -5u2) = 0 Solving 21 + 8u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (3 + -1u)(7 + 5u) = 0Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Subproblem 2
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 = -1.4Solution
u = {3, -1.4}
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