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Simplifying nx + ln(2x + 1) = 0 Reorder the terms: nx + ln(1 + 2x) = 0 nx + (1 * ln + 2x * ln) = 0 nx + (1ln + 2lnx) = 0 Reorder the terms: 1ln + 2lnx + nx = 0 Solving 1ln + 2lnx + nx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1nx' to each side of the equation. 1ln + 2lnx + nx + -1nx = 0 + -1nx Combine like terms: nx + -1nx = 0 1ln + 2lnx + 0 = 0 + -1nx 1ln + 2lnx = 0 + -1nx Remove the zero: 1ln + 2lnx = -1nx Combine like terms: -1nx + nx = 0 1ln + 2lnx + nx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(l + 2lx + x) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(l + 2lx + x)' equal to zero and attempt to solve: Simplifying l + 2lx + x = 0 Solving l + 2lx + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. l + 2lx + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 l + 2lx + 0 = 0 + -1x l + 2lx = 0 + -1x Remove the zero: l + 2lx = -1x 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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