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Simplifying (5u + 2)(5 + u) = 0 Reorder the terms: (2 + 5u)(5 + u) = 0 Multiply (2 + 5u) * (5 + u) (2(5 + u) + 5u * (5 + u)) = 0 ((5 * 2 + u * 2) + 5u * (5 + u)) = 0 ((10 + 2u) + 5u * (5 + u)) = 0 (10 + 2u + (5 * 5u + u * 5u)) = 0 (10 + 2u + (25u + 5u2)) = 0 Combine like terms: 2u + 25u = 27u (10 + 27u + 5u2) = 0 Solving 10 + 27u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + u)(2 + 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 '(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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