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Simplifying 10u2 + -29u + 10 = 0 Reorder the terms: 10 + -29u + 10u2 = 0 Solving 10 + -29u + 10u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + -5u)(5 + -2u) = 0Subproblem 1
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 = 0.4Subproblem 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 = {0.4, 2.5}
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