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Simplifying (5 + u)(5u + -2) = 0 Reorder the terms: (5 + u)(-2 + 5u) = 0 Multiply (5 + u) * (-2 + 5u) (5(-2 + 5u) + u(-2 + 5u)) = 0 ((-2 * 5 + 5u * 5) + u(-2 + 5u)) = 0 ((-10 + 25u) + u(-2 + 5u)) = 0 (-10 + 25u + (-2 * u + 5u * u)) = 0 (-10 + 25u + (-2u + 5u2)) = 0 Combine like terms: 25u + -2u = 23u (-10 + 23u + 5u2) = 0 Solving -10 + 23u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -1u)(2 + -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 '(2 + -5u)' equal to zero and attempt to solve: Simplifying 2 + -5u = 0 Solving 2 + -5u = 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 + -5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 0 + -2 -5u = 0 + -2 Combine like terms: 0 + -2 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4Solution
u = {-5, 0.4}
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