Ln*(x+1)+ln*(x-1)=3*ln*2

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Solution for Ln*(x+1)+ln*(x-1)=3*ln*2 equation:


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) = 0

Subproblem 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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