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Simplifying 125 = 5Ln(2x + -8) Reorder the terms: 125 = 5nL(-8 + 2x) 125 = (-8 * 5nL + 2x * 5nL) 125 = (-40nL + 10nxL) Solving 125 = -40nL + 10nxL Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40nL' to each side of the equation. 125 + 40nL = -40nL + 40nL + 10nxL Combine like terms: -40nL + 40nL = 0 125 + 40nL = 0 + 10nxL 125 + 40nL = 10nxL Add '-10nxL' to each side of the equation. 125 + 40nL + -10nxL = 10nxL + -10nxL Combine like terms: 10nxL + -10nxL = 0 125 + 40nL + -10nxL = 0 Add '-125' to each side of the equation. 125 + 40nL + -125 + -10nxL = 0 + -125 Reorder the terms: 125 + -125 + 40nL + -10nxL = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 40nL + -10nxL = 0 + -125 40nL + -10nxL = 0 + -125 Combine like terms: 0 + -125 = -125 40nL + -10nxL = -125 Reorder the terms: 125 + 40nL + -10nxL = -125 + 125 Combine like terms: -125 + 125 = 0 125 + 40nL + -10nxL = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(25 + 8nL + -2nxL) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(25 + 8nL + -2nxL)' equal to zero and attempt to solve: Simplifying 25 + 8nL + -2nxL = 0 Solving 25 + 8nL + -2nxL = 0 Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 8nL + -25 + -2nxL = 0 + -25 Reorder the terms: 25 + -25 + 8nL + -2nxL = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8nL + -2nxL = 0 + -25 8nL + -2nxL = 0 + -25 Combine like terms: 0 + -25 = -25 8nL + -2nxL = -25 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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