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Simplifying 20u3 + -180u = 0 Reorder the terms: -180u + 20u3 = 0 Solving -180u + 20u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '20u'. 20u(-9 + u2) = 0 Factor a difference between two squares. 20u((3 + u)(-3 + u)) = 0 Ignore the factor 20.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 '(3 + u)' equal to zero and attempt to solve: Simplifying 3 + u = 0 Solving 3 + u = 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 + u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + u = 0 + -3 u = 0 + -3 Combine like terms: 0 + -3 = -3 u = -3 Simplifying u = -3Subproblem 3
Set the factor '(-3 + u)' equal to zero and attempt to solve: Simplifying -3 + u = 0 Solving -3 + u = 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 + u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + u = 0 + 3 u = 0 + 3 Combine like terms: 0 + 3 = 3 u = 3 Simplifying u = 3Solution
u = {0, -3, 3}
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