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Simplifying 20u3 + 65u2 + -60u = 0 Reorder the terms: -60u + 65u2 + 20u3 = 0 Solving -60u + 65u2 + 20u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(-12 + 13u + 4u2) = 0 Factor a trinomial. 5u((-4 + -1u)(3 + -4u)) = 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 '(-4 + -1u)' equal to zero and attempt to solve: Simplifying -4 + -1u = 0 Solving -4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = 0 + 4 -1u = 0 + 4 Combine like terms: 0 + 4 = 4 -1u = 4 Divide each side by '-1'. u = -4 Simplifying u = -4Subproblem 3
Set the factor '(3 + -4u)' equal to zero and attempt to solve: Simplifying 3 + -4u = 0 Solving 3 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4u = 0 + -3 -4u = 0 + -3 Combine like terms: 0 + -3 = -3 -4u = -3 Divide each side by '-4'. u = 0.75 Simplifying u = 0.75Solution
u = {0, -4, 0.75}
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