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Simplifying (4u + 7)(9 + u) = 0 Reorder the terms: (7 + 4u)(9 + u) = 0 Multiply (7 + 4u) * (9 + u) (7(9 + u) + 4u * (9 + u)) = 0 ((9 * 7 + u * 7) + 4u * (9 + u)) = 0 ((63 + 7u) + 4u * (9 + u)) = 0 (63 + 7u + (9 * 4u + u * 4u)) = 0 (63 + 7u + (36u + 4u2)) = 0 Combine like terms: 7u + 36u = 43u (63 + 43u + 4u2) = 0 Solving 63 + 43u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + u)(7 + 4u) = 0Subproblem 1
Set the factor '(9 + u)' equal to zero and attempt to solve: Simplifying 9 + u = 0 Solving 9 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + u = 0 + -9 u = 0 + -9 Combine like terms: 0 + -9 = -9 u = -9 Simplifying u = -9Subproblem 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 = {-9, -1.75}
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