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Simplifying 4u2 = 20u + -25 Reorder the terms: 4u2 = -25 + 20u Solving 4u2 = -25 + 20u Solving for variable 'u'. Reorder the terms: 25 + -20u + 4u2 = -25 + 20u + 25 + -20u Reorder the terms: 25 + -20u + 4u2 = -25 + 25 + 20u + -20u Combine like terms: -25 + 25 = 0 25 + -20u + 4u2 = 0 + 20u + -20u 25 + -20u + 4u2 = 20u + -20u Combine like terms: 20u + -20u = 0 25 + -20u + 4u2 = 0 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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