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Simplifying (4u + 9)(7 + -1u) = 0 Reorder the terms: (9 + 4u)(7 + -1u) = 0 Multiply (9 + 4u) * (7 + -1u) (9(7 + -1u) + 4u * (7 + -1u)) = 0 ((7 * 9 + -1u * 9) + 4u * (7 + -1u)) = 0 ((63 + -9u) + 4u * (7 + -1u)) = 0 (63 + -9u + (7 * 4u + -1u * 4u)) = 0 (63 + -9u + (28u + -4u2)) = 0 Combine like terms: -9u + 28u = 19u (63 + 19u + -4u2) = 0 Solving 63 + 19u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + -1u)(9 + 4u) = 0Subproblem 1
Set the factor '(7 + -1u)' equal to zero and attempt to solve: Simplifying 7 + -1u = 0 Solving 7 + -1u = 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 + -1u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1u = 0 + -7 -1u = 0 + -7 Combine like terms: 0 + -7 = -7 -1u = -7 Divide each side by '-1'. u = 7 Simplifying u = 7Subproblem 2
Set the factor '(9 + 4u)' equal to zero and attempt to solve: Simplifying 9 + 4u = 0 Solving 9 + 4u = 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 + 4u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4u = 0 + -9 4u = 0 + -9 Combine like terms: 0 + -9 = -9 4u = -9 Divide each side by '4'. u = -2.25 Simplifying u = -2.25Solution
u = {7, -2.25}
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