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Simplifying 25u2 = 10u + -1 Reorder the terms: 25u2 = -1 + 10u Solving 25u2 = -1 + 10u Solving for variable 'u'. Reorder the terms: 1 + -10u + 25u2 = -1 + 10u + 1 + -10u Reorder the terms: 1 + -10u + 25u2 = -1 + 1 + 10u + -10u Combine like terms: -1 + 1 = 0 1 + -10u + 25u2 = 0 + 10u + -10u 1 + -10u + 25u2 = 10u + -10u Combine like terms: 10u + -10u = 0 1 + -10u + 25u2 = 0 Factor a trinomial. (1 + -5u)(1 + -5u) = 0Subproblem 1
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 = 0.2Subproblem 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 = {0.2, 0.2}
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