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Simplifying (5 + u)(3u + -4) = 0 Reorder the terms: (5 + u)(-4 + 3u) = 0 Multiply (5 + u) * (-4 + 3u) (5(-4 + 3u) + u(-4 + 3u)) = 0 ((-4 * 5 + 3u * 5) + u(-4 + 3u)) = 0 ((-20 + 15u) + u(-4 + 3u)) = 0 (-20 + 15u + (-4 * u + 3u * u)) = 0 (-20 + 15u + (-4u + 3u2)) = 0 Combine like terms: 15u + -4u = 11u (-20 + 11u + 3u2) = 0 Solving -20 + 11u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -1u)(4 + -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 '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333Solution
u = {-5, 1.333333333}
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