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Simplifying (1 + -1u)(3u + 7) = 0 Reorder the terms: (1 + -1u)(7 + 3u) = 0 Multiply (1 + -1u) * (7 + 3u) (1(7 + 3u) + -1u * (7 + 3u)) = 0 ((7 * 1 + 3u * 1) + -1u * (7 + 3u)) = 0 ((7 + 3u) + -1u * (7 + 3u)) = 0 (7 + 3u + (7 * -1u + 3u * -1u)) = 0 (7 + 3u + (-7u + -3u2)) = 0 Combine like terms: 3u + -7u = -4u (7 + -4u + -3u2) = 0 Solving 7 + -4u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -1u)(7 + 3u) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + 3u)' equal to zero and attempt to solve: Simplifying 7 + 3u = 0 Solving 7 + 3u = 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 + 3u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3u = 0 + -7 3u = 0 + -7 Combine like terms: 0 + -7 = -7 3u = -7 Divide each side by '3'. u = -2.333333333 Simplifying u = -2.333333333Solution
u = {1, -2.333333333}
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