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Simplifying (5 + -1u)(7 + 2u) = 0 Multiply (5 + -1u) * (7 + 2u) (5(7 + 2u) + -1u * (7 + 2u)) = 0 ((7 * 5 + 2u * 5) + -1u * (7 + 2u)) = 0 ((35 + 10u) + -1u * (7 + 2u)) = 0 (35 + 10u + (7 * -1u + 2u * -1u)) = 0 (35 + 10u + (-7u + -2u2)) = 0 Combine like terms: 10u + -7u = 3u (35 + 3u + -2u2) = 0 Solving 35 + 3u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -1u)(7 + 2u) = 0Subproblem 1
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 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 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Subproblem 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 = {5, -3.5}
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