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Simplifying 25u3 + 85u2 + -200u = 0 Reorder the terms: -200u + 85u2 + 25u3 = 0 Solving -200u + 85u2 + 25u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(-40 + 17u + 5u2) = 0 Factor a trinomial. 5u((-5 + -1u)(8 + -5u)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(-5 + -1u)' equal to zero and attempt to solve: Simplifying -5 + -1u = 0 Solving -5 + -1u = 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 + -1u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1u = 0 + 5 -1u = 0 + 5 Combine like terms: 0 + 5 = 5 -1u = 5 Divide each side by '-1'. u = -5 Simplifying u = -5Subproblem 3
Set the factor '(8 + -5u)' equal to zero and attempt to solve: Simplifying 8 + -5u = 0 Solving 8 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5u = 0 + -8 -5u = 0 + -8 Combine like terms: 0 + -8 = -8 -5u = -8 Divide each side by '-5'. u = 1.6 Simplifying u = 1.6Solution
u = {0, -5, 1.6}
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