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Simplifying (4 + u)(3u + -5) = 0 Reorder the terms: (4 + u)(-5 + 3u) = 0 Multiply (4 + u) * (-5 + 3u) (4(-5 + 3u) + u(-5 + 3u)) = 0 ((-5 * 4 + 3u * 4) + u(-5 + 3u)) = 0 ((-20 + 12u) + u(-5 + 3u)) = 0 (-20 + 12u + (-5 * u + 3u * u)) = 0 (-20 + 12u + (-5u + 3u2)) = 0 Combine like terms: 12u + -5u = 7u (-20 + 7u + 3u2) = 0 Solving -20 + 7u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -1u)(5 + -3u) = 0Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve: Simplifying -4 + -1u = 0 Solving -4 + -1u = 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 + -1u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = 0 + 4 -1u = 0 + 4 Combine like terms: 0 + 4 = 4 -1u = 4 Divide each side by '-1'. u = -4 Simplifying u = -4Subproblem 2
Set the factor '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 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 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667Solution
u = {-4, 1.666666667}
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