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Simplifying (5 + -2u)(5 + -2u) = 0 Multiply (5 + -2u) * (5 + -2u) (5(5 + -2u) + -2u * (5 + -2u)) = 0 ((5 * 5 + -2u * 5) + -2u * (5 + -2u)) = 0 ((25 + -10u) + -2u * (5 + -2u)) = 0 (25 + -10u + (5 * -2u + -2u * -2u)) = 0 (25 + -10u + (-10u + 4u2)) = 0 Combine like terms: -10u + -10u = -20u (25 + -20u + 4u2) = 0 Solving 25 + -20u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -2u)(5 + -2u) = 0Subproblem 1
Set the factor '(5 + -2u)' equal to zero and attempt to solve: Simplifying 5 + -2u = 0 Solving 5 + -2u = 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 + -2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2u = 0 + -5 -2u = 0 + -5 Combine like terms: 0 + -5 = -5 -2u = -5 Divide each side by '-2'. u = 2.5 Simplifying u = 2.5Subproblem 2
Set the factor '(5 + -2u)' equal to zero and attempt to solve: Simplifying 5 + -2u = 0 Solving 5 + -2u = 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 + -2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2u = 0 + -5 -2u = 0 + -5 Combine like terms: 0 + -5 = -5 -2u = -5 Divide each side by '-2'. u = 2.5 Simplifying u = 2.5Solution
u = {2.5, 2.5}
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