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Simplifying (7 + -1u)(2u + 3) = 0 Reorder the terms: (7 + -1u)(3 + 2u) = 0 Multiply (7 + -1u) * (3 + 2u) (7(3 + 2u) + -1u * (3 + 2u)) = 0 ((3 * 7 + 2u * 7) + -1u * (3 + 2u)) = 0 ((21 + 14u) + -1u * (3 + 2u)) = 0 (21 + 14u + (3 * -1u + 2u * -1u)) = 0 (21 + 14u + (-3u + -2u2)) = 0 Combine like terms: 14u + -3u = 11u (21 + 11u + -2u2) = 0 Solving 21 + 11u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + -1u)(3 + 2u) = 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 '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Solution
u = {7, -1.5}
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