Ln(35+v)=ln(v^2-v)

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Solution for Ln(35+v)=ln(v^2-v) equation: 


Simplifying
Ln(35 + v) = ln(v2 + -1v)
(35 * nL + v * nL) = ln(v2 + -1v)
(35nL + nvL) = ln(v2 + -1v)

Reorder the terms:
35nL + nvL = ln(-1v + v2)
35nL + nvL = (-1v * ln + v2 * ln)
35nL + nvL = (-1lnv + lnv2)

Solving
35nL + nvL = -1lnv + lnv2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add 'lnv' to each side of the equation.
35nL + lnv + nvL = -1lnv + lnv + lnv2

Reorder the terms:
lnv + 35nL + nvL = -1lnv + lnv + lnv2

Combine like terms: -1lnv + lnv = 0
lnv + 35nL + nvL = 0 + lnv2
lnv + 35nL + nvL = lnv2

Add '-1lnv2' to each side of the equation.
lnv + 35nL + -1lnv2 + nvL = lnv2 + -1lnv2

Reorder the terms:
lnv + -1lnv2 + 35nL + nvL = lnv2 + -1lnv2

Combine like terms: lnv2 + -1lnv2 = 0
lnv + -1lnv2 + 35nL + nvL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(lv + -1lv2 + 35L + vL) = 0


Subproblem 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 = 0

Subproblem 2
Set the factor '(lv + -1lv2 + 35L + vL)' equal to zero and attempt to solve:

Simplifying
lv + -1lv2 + 35L + vL = 0

Reorder the terms:
35L + lv + -1lv2 + vL = 0

Solving
35L + lv + -1lv2 + vL = 0

Move all terms containing n to the left, all other terms to the right.

Add '-35L' to each side of the equation.
35L + lv + -1lv2 + -35L + vL = 0 + -35L

Reorder the terms:
35L + -35L + lv + -1lv2 + vL = 0 + -35L

Combine like terms: 35L + -35L = 0
0 + lv + -1lv2 + vL = 0 + -35L
lv + -1lv2 + vL = 0 + -35L
Remove the zero:
lv + -1lv2 + vL = -35L

Add '-1lv' to each side of the equation.
lv + -1lv2 + -1lv + vL = -35L + -1lv

Reorder the terms:
lv + -1lv + -1lv2 + vL = -35L + -1lv

Combine like terms: lv + -1lv = 0
0 + -1lv2 + vL = -35L + -1lv
-1lv2 + vL = -35L + -1lv

Add 'lv2' to each side of the equation.
-1lv2 + lv2 + vL = -35L + -1lv + lv2

Combine like terms: -1lv2 + lv2 = 0
0 + vL = -35L + -1lv + lv2
vL = -35L + -1lv + lv2

Add '-1vL' to each side of the equation.
vL + -1vL = -35L + -1lv + lv2 + -1vL

Combine like terms: vL + -1vL = 0
0 = -35L + -1lv + lv2 + -1vL

Simplifying
0 = -35L + -1lv + lv2 + -1vL

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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