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Simplifying Ln(x + 1) + ln(x + -1) = 3ln * 2 Reorder the terms: nL(1 + x) + ln(x + -1) = 3ln * 2 (1 * nL + x * nL) + ln(x + -1) = 3ln * 2 (1nL + nxL) + ln(x + -1) = 3ln * 2 Reorder the terms: 1nL + nxL + ln(-1 + x) = 3ln * 2 1nL + nxL + (-1 * ln + x * ln) = 3ln * 2 1nL + nxL + (-1ln + lnx) = 3ln * 2 Reorder the terms: -1ln + lnx + 1nL + nxL = 3ln * 2 Reorder the terms for easier multiplication: -1ln + lnx + 1nL + nxL = 3 * 2ln Multiply 3 * 2 -1ln + lnx + 1nL + nxL = 6ln Solving -1ln + lnx + 1nL + nxL = 6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. -1ln + lnx + 1nL + -6ln + nxL = 6ln + -6ln Reorder the terms: -1ln + -6ln + lnx + 1nL + nxL = 6ln + -6ln Combine like terms: -1ln + -6ln = -7ln -7ln + lnx + 1nL + nxL = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 -7ln + lnx + 1nL + nxL = 0 Add '-1nL' to each side of the equation. -7ln + lnx + 1nL + -1nL + nxL = 0 + -1nL Combine like terms: 1nL + -1nL = 0 -7ln + lnx + 0 + nxL = 0 + -1nL -7ln + lnx + nxL = 0 + -1nL Remove the zero: -7ln + lnx + nxL = -1nL Add '-1nxL' to each side of the equation. -7ln + lnx + nxL + -1nxL = -1nL + -1nxL Combine like terms: nxL + -1nxL = 0 -7ln + lnx + 0 = -1nL + -1nxL -7ln + lnx = -1nL + -1nxL Reorder the terms: -7ln + lnx + nL + nxL = -1nL + nL + -1nxL + nxL Combine like terms: -1nL + nL = 0 -7ln + lnx + nL + nxL = 0 + -1nxL + nxL -7ln + lnx + nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -7ln + lnx + nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-7l + lx + L + xL) = 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 '(-7l + lx + L + xL)' equal to zero and attempt to solve: Simplifying -7l + lx + L + xL = 0 Reorder the terms: L + -7l + lx + xL = 0 Solving L + -7l + lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -7l + lx + -1L + xL = 0 + -1L Reorder the terms: L + -1L + -7l + lx + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -7l + lx + xL = 0 + -1L -7l + lx + xL = 0 + -1L Remove the zero: -7l + lx + xL = -1L Add '-1xL' to each side of the equation. -7l + lx + xL + -1xL = -1L + -1xL Combine like terms: xL + -1xL = 0 -7l + lx + 0 = -1L + -1xL -7l + lx = -1L + -1xL 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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