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Simplifying 1u2 = 14u2 + 32u Reorder the terms: 1u2 = 32u + 14u2 Solving 1u2 = 32u + 14u2 Solving for variable 'u'. Reorder the terms: -32u + 1u2 + -14u2 = 32u + 14u2 + -32u + -14u2 Combine like terms: 1u2 + -14u2 = -13u2 -32u + -13u2 = 32u + 14u2 + -32u + -14u2 Reorder the terms: -32u + -13u2 = 32u + -32u + 14u2 + -14u2 Combine like terms: 32u + -32u = 0 -32u + -13u2 = 0 + 14u2 + -14u2 -32u + -13u2 = 14u2 + -14u2 Combine like terms: 14u2 + -14u2 = 0 -32u + -13u2 = 0 Factor out the Greatest Common Factor (GCF), '-1u'. -1u(32 + 13u) = 0 Ignore the factor -1.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 '(32 + 13u)' equal to zero and attempt to solve: Simplifying 32 + 13u = 0 Solving 32 + 13u = 0 Move all terms containing u to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 13u = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 13u = 0 + -32 13u = 0 + -32 Combine like terms: 0 + -32 = -32 13u = -32 Divide each side by '13'. u = -2.461538462 Simplifying u = -2.461538462Solution
u = {0, -2.461538462}
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