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Simplifying (7 + u)(4u + 5) = 0 Reorder the terms: (7 + u)(5 + 4u) = 0 Multiply (7 + u) * (5 + 4u) (7(5 + 4u) + u(5 + 4u)) = 0 ((5 * 7 + 4u * 7) + u(5 + 4u)) = 0 ((35 + 28u) + u(5 + 4u)) = 0 (35 + 28u + (5 * u + 4u * u)) = 0 (35 + 28u + (5u + 4u2)) = 0 Combine like terms: 28u + 5u = 33u (35 + 33u + 4u2) = 0 Solving 35 + 33u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(5 + 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 '(5 + 4u)' equal to zero and attempt to solve: Simplifying 5 + 4u = 0 Solving 5 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4u = 0 + -5 4u = 0 + -5 Combine like terms: 0 + -5 = -5 4u = -5 Divide each side by '4'. u = -1.25 Simplifying u = -1.25Solution
u = {-7, -1.25}
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