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Simplifying (2u + 7)(9 + -1u) = 0 Reorder the terms: (7 + 2u)(9 + -1u) = 0 Multiply (7 + 2u) * (9 + -1u) (7(9 + -1u) + 2u * (9 + -1u)) = 0 ((9 * 7 + -1u * 7) + 2u * (9 + -1u)) = 0 ((63 + -7u) + 2u * (9 + -1u)) = 0 (63 + -7u + (9 * 2u + -1u * 2u)) = 0 (63 + -7u + (18u + -2u2)) = 0 Combine like terms: -7u + 18u = 11u (63 + 11u + -2u2) = 0 Solving 63 + 11u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -1u)(7 + 2u) = 0Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 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 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 2
Set the factor '(7 + 2u)' equal to zero and attempt to solve: Simplifying 7 + 2u = 0 Solving 7 + 2u = 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 + 2u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2u = 0 + -7 2u = 0 + -7 Combine like terms: 0 + -7 = -7 2u = -7 Divide each side by '2'. u = -3.5 Simplifying u = -3.5Solution
u = {9, -3.5}
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