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Simplifying (4u + 3)(7 + u) = 0 Reorder the terms: (3 + 4u)(7 + u) = 0 Multiply (3 + 4u) * (7 + u) (3(7 + u) + 4u * (7 + u)) = 0 ((7 * 3 + u * 3) + 4u * (7 + u)) = 0 ((21 + 3u) + 4u * (7 + u)) = 0 (21 + 3u + (7 * 4u + u * 4u)) = 0 (21 + 3u + (28u + 4u2)) = 0 Combine like terms: 3u + 28u = 31u (21 + 31u + 4u2) = 0 Solving 21 + 31u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(3 + 4u) = 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 '(3 + 4u)' equal to zero and attempt to solve: Simplifying 3 + 4u = 0 Solving 3 + 4u = 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 + 4u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4u = 0 + -3 4u = 0 + -3 Combine like terms: 0 + -3 = -3 4u = -3 Divide each side by '4'. u = -0.75 Simplifying u = -0.75Solution
u = {-7, -0.75}
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