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Simplifying n(x + 8) + ln(x + -1) = 2lnx Reorder the terms: n(8 + x) + ln(x + -1) = 2lnx (8 * n + x * n) + ln(x + -1) = 2lnx (8n + nx) + ln(x + -1) = 2lnx Reorder the terms: 8n + nx + ln(-1 + x) = 2lnx 8n + nx + (-1 * ln + x * ln) = 2lnx 8n + nx + (-1ln + lnx) = 2lnx Reorder the terms: -1ln + lnx + 8n + nx = 2lnx Solving -1ln + lnx + 8n + nx = 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -1ln + lnx + 8n + -2lnx + nx = 2lnx + -2lnx Reorder the terms: -1ln + lnx + -2lnx + 8n + nx = 2lnx + -2lnx Combine like terms: lnx + -2lnx = -1lnx -1ln + -1lnx + 8n + nx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -1ln + -1lnx + 8n + nx = 0 Add '-8n' to each side of the equation. -1ln + -1lnx + 8n + -8n + nx = 0 + -8n Combine like terms: 8n + -8n = 0 -1ln + -1lnx + 0 + nx = 0 + -8n -1ln + -1lnx + nx = 0 + -8n Remove the zero: -1ln + -1lnx + nx = -8n Add '-1nx' to each side of the equation. -1ln + -1lnx + nx + -1nx = -8n + -1nx Combine like terms: nx + -1nx = 0 -1ln + -1lnx + 0 = -8n + -1nx -1ln + -1lnx = -8n + -1nx Reorder the terms: -1ln + -1lnx + 8n + nx = -8n + 8n + -1nx + nx Combine like terms: -8n + 8n = 0 -1ln + -1lnx + 8n + nx = 0 + -1nx + nx -1ln + -1lnx + 8n + nx = -1nx + nx Combine like terms: -1nx + nx = 0 -1ln + -1lnx + 8n + nx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1l + -1lx + 8 + 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 '(-1l + -1lx + 8 + x)' equal to zero and attempt to solve: Simplifying -1l + -1lx + 8 + x = 0 Reorder the terms: 8 + -1l + -1lx + x = 0 Solving 8 + -1l + -1lx + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1l + -1lx + -8 + x = 0 + -8 Reorder the terms: 8 + -8 + -1l + -1lx + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1l + -1lx + x = 0 + -8 -1l + -1lx + x = 0 + -8 Combine like terms: 0 + -8 = -8 -1l + -1lx + x = -8 Add '-1x' to each side of the equation. -1l + -1lx + x + -1x = -8 + -1x Combine like terms: x + -1x = 0 -1l + -1lx + 0 = -8 + -1x -1l + -1lx = -8 + -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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