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Simplifying 2lnx + -2lnx + 31n = 5lnx + -1lnx + 2ln Combine like terms: 2lnx + -2lnx = 0 0 + 31n = 5lnx + -1lnx + 2ln 31n = 5lnx + -1lnx + 2ln Reorder the terms: 31n = 2ln + 5lnx + -1lnx Combine like terms: 5lnx + -1lnx = 4lnx 31n = 2ln + 4lnx Solving 31n = 2ln + 4lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2ln' to each side of the equation. -2ln + 31n = 2ln + -2ln + 4lnx Combine like terms: 2ln + -2ln = 0 -2ln + 31n = 0 + 4lnx -2ln + 31n = 4lnx Add '-4lnx' to each side of the equation. -2ln + -4lnx + 31n = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -2ln + -4lnx + 31n = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-2l + -4lx + 31) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-2l + -4lx + 31)' equal to zero and attempt to solve: Simplifying -2l + -4lx + 31 = 0 Reorder the terms: 31 + -2l + -4lx = 0 Solving 31 + -2l + -4lx = 0 Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -2l + -31 + -4lx = 0 + -31 Reorder the terms: 31 + -31 + -2l + -4lx = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -2l + -4lx = 0 + -31 -2l + -4lx = 0 + -31 Combine like terms: 0 + -31 = -31 -2l + -4lx = -31 Add '2l' to each side of the equation. -2l + 2l + -4lx = -31 + 2l Combine like terms: -2l + 2l = 0 0 + -4lx = -31 + 2l -4lx = -31 + 2l Add '4lx' to each side of the equation. -4lx + 4lx = -31 + 2l + 4lx Combine like terms: -4lx + 4lx = 0 0 = -31 + 2l + 4lx Simplifying 0 = -31 + 2l + 4lx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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