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Simplifying (4 + u)(4u + 7) = 0 Reorder the terms: (4 + u)(7 + 4u) = 0 Multiply (4 + u) * (7 + 4u) (4(7 + 4u) + u(7 + 4u)) = 0 ((7 * 4 + 4u * 4) + u(7 + 4u)) = 0 ((28 + 16u) + u(7 + 4u)) = 0 (28 + 16u + (7 * u + 4u * u)) = 0 (28 + 16u + (7u + 4u2)) = 0 Combine like terms: 16u + 7u = 23u (28 + 23u + 4u2) = 0 Solving 28 + 23u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + u)(7 + 4u) = 0Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Subproblem 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 = {-4, -1.75}
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