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Simplifying 2u7 + 20u6 + 50u5 = 0 Reorder the terms: 50u5 + 20u6 + 2u7 = 0 Solving 50u5 + 20u6 + 2u7 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u5'. 2u5(25 + 10u + u2) = 0 Factor a trinomial. 2u5((5 + u)(5 + u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u5' equal to zero and attempt to solve: Simplifying u5 = 0 Solving u5 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Subproblem 3
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Solution
u = {-5, -5}
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