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Simplifying u3 + -14u + -32u = 0 Reorder the terms: -14u + -32u + u3 = 0 Combine like terms: -14u + -32u = -46u -46u + u3 = 0 Solving -46u + u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(-46 + u2) = 0Subproblem 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 '(-46 + u2)' equal to zero and attempt to solve: Simplifying -46 + u2 = 0 Solving -46 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + u2 = 0 + 46 Combine like terms: -46 + 46 = 0 0 + u2 = 0 + 46 u2 = 0 + 46 Combine like terms: 0 + 46 = 46 u2 = 46 Simplifying u2 = 46 Take the square root of each side: u = {-6.782329983, 6.782329983}Solution
u = {0, -6.782329983, 6.782329983}
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