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Simplifying (3u + -2)(5 + -1u) = 0 Reorder the terms: (-2 + 3u)(5 + -1u) = 0 Multiply (-2 + 3u) * (5 + -1u) (-2(5 + -1u) + 3u * (5 + -1u)) = 0 ((5 * -2 + -1u * -2) + 3u * (5 + -1u)) = 0 ((-10 + 2u) + 3u * (5 + -1u)) = 0 (-10 + 2u + (5 * 3u + -1u * 3u)) = 0 (-10 + 2u + (15u + -3u2)) = 0 Combine like terms: 2u + 15u = 17u (-10 + 17u + -3u2) = 0 Solving -10 + 17u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + u)(2 + -3u) = 0Subproblem 1
Set the factor '(-5 + u)' equal to zero and attempt to solve: Simplifying -5 + u = 0 Solving -5 + u = 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 + u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u = 0 + 5 u = 0 + 5 Combine like terms: 0 + 5 = 5 u = 5 Simplifying u = 5Subproblem 2
Set the factor '(2 + -3u)' equal to zero and attempt to solve: Simplifying 2 + -3u = 0 Solving 2 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 0 + -2 -3u = 0 + -2 Combine like terms: 0 + -2 = -2 -3u = -2 Divide each side by '-3'. u = 0.6666666667 Simplifying u = 0.6666666667Solution
u = {5, 0.6666666667}
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