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Simplifying n(2x + 1) + ln(x + -3) + -2ln(x) = 0 Reorder the terms: n(1 + 2x) + ln(x + -3) + -2ln(x) = 0 (1 * n + 2x * n) + ln(x + -3) + -2ln(x) = 0 (1n + 2nx) + ln(x + -3) + -2ln(x) = 0 Reorder the terms: 1n + 2nx + ln(-3 + x) + -2ln(x) = 0 1n + 2nx + (-3 * ln + x * ln) + -2ln(x) = 0 1n + 2nx + (-3ln + lnx) + -2ln(x) = 0 Multiply ln * x 1n + 2nx + -3ln + lnx + -2lnx = 0 Reorder the terms: -3ln + lnx + -2lnx + 1n + 2nx = 0 Combine like terms: lnx + -2lnx = -1lnx -3ln + -1lnx + 1n + 2nx = 0 Solving -3ln + -1lnx + 1n + 2nx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. -3ln + -1lnx + 1n + -1n + 2nx = 0 + -1n Combine like terms: 1n + -1n = 0 -3ln + -1lnx + 0 + 2nx = 0 + -1n -3ln + -1lnx + 2nx = 0 + -1n Remove the zero: -3ln + -1lnx + 2nx = -1n Add '-2nx' to each side of the equation. -3ln + -1lnx + 2nx + -2nx = -1n + -2nx Combine like terms: 2nx + -2nx = 0 -3ln + -1lnx + 0 = -1n + -2nx -3ln + -1lnx = -1n + -2nx Reorder the terms: -3ln + -1lnx + n + 2nx = -1n + n + -2nx + 2nx Combine like terms: -1n + n = 0 -3ln + -1lnx + n + 2nx = 0 + -2nx + 2nx -3ln + -1lnx + n + 2nx = -2nx + 2nx Combine like terms: -2nx + 2nx = 0 -3ln + -1lnx + n + 2nx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-3l + -1lx + 1 + 2x) = 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 '(-3l + -1lx + 1 + 2x)' equal to zero and attempt to solve: Simplifying -3l + -1lx + 1 + 2x = 0 Reorder the terms: 1 + -3l + -1lx + 2x = 0 Solving 1 + -3l + -1lx + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3l + -1lx + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + -3l + -1lx + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3l + -1lx + 2x = 0 + -1 -3l + -1lx + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 -3l + -1lx + 2x = -1 Add '-2x' to each side of the equation. -3l + -1lx + 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 -3l + -1lx + 0 = -1 + -2x -3l + -1lx = -1 + -2x 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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