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Simplifying (5 + -1u)(5u + -1) = 0 Reorder the terms: (5 + -1u)(-1 + 5u) = 0 Multiply (5 + -1u) * (-1 + 5u) (5(-1 + 5u) + -1u * (-1 + 5u)) = 0 ((-1 * 5 + 5u * 5) + -1u * (-1 + 5u)) = 0 ((-5 + 25u) + -1u * (-1 + 5u)) = 0 (-5 + 25u + (-1 * -1u + 5u * -1u)) = 0 (-5 + 25u + (1u + -5u2)) = 0 Combine like terms: 25u + 1u = 26u (-5 + 26u + -5u2) = 0 Solving -5 + 26u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + u)(1 + -5u) = 0Subproblem 1
Set the factor '(-5 + u)' equal to zero and attempt to solve: Simplifying -5 + u = 0 Solving -5 + u = 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 + u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u = 0 + 5 u = 0 + 5 Combine like terms: 0 + 5 = 5 u = 5 Simplifying u = 5Subproblem 2
Set the factor '(1 + -5u)' equal to zero and attempt to solve: Simplifying 1 + -5u = 0 Solving 1 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5u = 0 + -1 -5u = 0 + -1 Combine like terms: 0 + -1 = -1 -5u = -1 Divide each side by '-5'. u = 0.2 Simplifying u = 0.2Solution
u = {5, 0.2}
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