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Simplifying 20u3 + 84u2 + -80u = 0 Reorder the terms: -80u + 84u2 + 20u3 = 0 Solving -80u + 84u2 + 20u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u'. 4u(-20 + 21u + 5u2) = 0 Factor a trinomial. 4u((-5 + -1u)(4 + -5u)) = 0 Ignore the factor 4.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 '(4 + -5u)' equal to zero and attempt to solve: Simplifying 4 + -5u = 0 Solving 4 + -5u = 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 + -5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5u = 0 + -4 -5u = 0 + -4 Combine like terms: 0 + -4 = -4 -5u = -4 Divide each side by '-5'. u = 0.8 Simplifying u = 0.8Solution
u = {0, -5, 0.8}
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