Ln(x^2-5x)=ln(-6)

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Solution for Ln(x^2-5x)=ln(-6) equation: 


Simplifying
Ln(x2 + -5x) = ln(-6)

Reorder the terms:
nL(-5x + x2) = ln(-6)
(-5x * nL + x2 * nL) = ln(-6)
(-5nxL + nx2L) = ln(-6)

Reorder the terms for easier multiplication:
-5nxL + nx2L = -6ln

Solving
-5nxL + nx2L = -6ln

Solving for variable 'n'.

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

Add '6ln' to each side of the equation.
-5nxL + 6ln + nx2L = -6ln + 6ln

Reorder the terms:
6ln + -5nxL + nx2L = -6ln + 6ln

Combine like terms: -6ln + 6ln = 0
6ln + -5nxL + nx2L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(6l + -5xL + x2L) = 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 '(6l + -5xL + x2L)' equal to zero and attempt to solve:

Simplifying
6l + -5xL + x2L = 0

Solving
6l + -5xL + x2L = 0

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

Add '-6l' to each side of the equation.
6l + -5xL + -6l + x2L = 0 + -6l

Reorder the terms:
6l + -6l + -5xL + x2L = 0 + -6l

Combine like terms: 6l + -6l = 0
0 + -5xL + x2L = 0 + -6l
-5xL + x2L = 0 + -6l
Remove the zero:
-5xL + x2L = -6l

Add '5xL' to each side of the equation.
-5xL + 5xL + x2L = -6l + 5xL

Combine like terms: -5xL + 5xL = 0
0 + x2L = -6l + 5xL
x2L = -6l + 5xL

Add '-1x2L' to each side of the equation.
x2L + -1x2L = -6l + 5xL + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = -6l + 5xL + -1x2L

Simplifying
0 = -6l + 5xL + -1x2L

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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