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Simplifying (5 + u)(3u + -2) = 0 Reorder the terms: (5 + u)(-2 + 3u) = 0 Multiply (5 + u) * (-2 + 3u) (5(-2 + 3u) + u(-2 + 3u)) = 0 ((-2 * 5 + 3u * 5) + u(-2 + 3u)) = 0 ((-10 + 15u) + u(-2 + 3u)) = 0 (-10 + 15u + (-2 * u + 3u * u)) = 0 (-10 + 15u + (-2u + 3u2)) = 0 Combine like terms: 15u + -2u = 13u (-10 + 13u + 3u2) = 0 Solving -10 + 13u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -1u)(2 + -3u) = 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 '(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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