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Simplifying (5 + u)(5u + -3) = 0 Reorder the terms: (5 + u)(-3 + 5u) = 0 Multiply (5 + u) * (-3 + 5u) (5(-3 + 5u) + u(-3 + 5u)) = 0 ((-3 * 5 + 5u * 5) + u(-3 + 5u)) = 0 ((-15 + 25u) + u(-3 + 5u)) = 0 (-15 + 25u + (-3 * u + 5u * u)) = 0 (-15 + 25u + (-3u + 5u2)) = 0 Combine like terms: 25u + -3u = 22u (-15 + 22u + 5u2) = 0 Solving -15 + 22u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -1u)(3 + -5u) = 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 '(3 + -5u)' equal to zero and attempt to solve: Simplifying 3 + -5u = 0 Solving 3 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 0 + -3 -5u = 0 + -3 Combine like terms: 0 + -3 = -3 -5u = -3 Divide each side by '-5'. u = 0.6 Simplifying u = 0.6Solution
u = {-5, 0.6}
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