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