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Simplifying 0 = Ln(8 + -3x) 0 = (8 * nL + -3x * nL) 0 = (8nL + -3nxL) Solving 0 = 8nL + -3nxL Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8nL' to each side of the equation. 0 + -8nL = 8nL + -8nL + -3nxL Remove the zero: -8nL = 8nL + -8nL + -3nxL Combine like terms: 8nL + -8nL = 0 -8nL = 0 + -3nxL -8nL = -3nxL Add '3nxL' to each side of the equation. -8nL + 3nxL = -3nxL + 3nxL Combine like terms: -3nxL + 3nxL = 0 -8nL + 3nxL = 0 Factor out the Greatest Common Factor (GCF), 'nL'. nL(-8 + 3x) = 0Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve: Simplifying -8 + 3x = 0 Solving -8 + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Add '-3x' to each side of the equation. 3x + -3x = 8 + -3x Combine like terms: 3x + -3x = 0 0 = 8 + -3x Simplifying 0 = 8 + -3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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