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Simplifying (4u + 7)(5 + u) = 0 Reorder the terms: (7 + 4u)(5 + u) = 0 Multiply (7 + 4u) * (5 + u) (7(5 + u) + 4u * (5 + u)) = 0 ((5 * 7 + u * 7) + 4u * (5 + u)) = 0 ((35 + 7u) + 4u * (5 + u)) = 0 (35 + 7u + (5 * 4u + u * 4u)) = 0 (35 + 7u + (20u + 4u2)) = 0 Combine like terms: 7u + 20u = 27u (35 + 27u + 4u2) = 0 Solving 35 + 27u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + u)(7 + 4u) = 0Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Subproblem 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 = {-5, -1.75}
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