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Simplifying 29u2 + 48u + -20 = 0 Reorder the terms: -20 + 48u + 29u2 = 0 Solving -20 + 48u + 29u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + -1u)(10 + -29u) = 0Subproblem 1
Set the factor '(-2 + -1u)' equal to zero and attempt to solve: Simplifying -2 + -1u = 0 Solving -2 + -1u = 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 + -1u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1u = 0 + 2 -1u = 0 + 2 Combine like terms: 0 + 2 = 2 -1u = 2 Divide each side by '-1'. u = -2 Simplifying u = -2Subproblem 2
Set the factor '(10 + -29u)' equal to zero and attempt to solve: Simplifying 10 + -29u = 0 Solving 10 + -29u = 0 Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -29u = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -29u = 0 + -10 -29u = 0 + -10 Combine like terms: 0 + -10 = -10 -29u = -10 Divide each side by '-29'. u = 0.3448275862 Simplifying u = 0.3448275862Solution
u = {-2, 0.3448275862}
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