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Simplifying (4u + 7)(1 + -1u) = 0 Reorder the terms: (7 + 4u)(1 + -1u) = 0 Multiply (7 + 4u) * (1 + -1u) (7(1 + -1u) + 4u * (1 + -1u)) = 0 ((1 * 7 + -1u * 7) + 4u * (1 + -1u)) = 0 ((7 + -7u) + 4u * (1 + -1u)) = 0 (7 + -7u + (1 * 4u + -1u * 4u)) = 0 (7 + -7u + (4u + -4u2)) = 0 Combine like terms: -7u + 4u = -3u (7 + -3u + -4u2) = 0 Solving 7 + -3u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -1u)(7 + 4u) = 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 + 4u)' equal to zero and attempt to solve: Simplifying 7 + 4u = 0 Solving 7 + 4u = 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 + 4u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4u = 0 + -7 4u = 0 + -7 Combine like terms: 0 + -7 = -7 4u = -7 Divide each side by '4'. u = -1.75 Simplifying u = -1.75Solution
u = {1, -1.75}
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