Fx=6x*ln(9x)-6x

Solution for Fx=6x*ln(9x)-6x equation:

Simplifying
Fx = 6x * ln(9x) + -6x

Remove parenthesis around (9x)
xF = 6x * ln * 9x + -6x

Reorder the terms for easier multiplication:
xF = 6 * 9x * ln * x + -6x

Multiply 6 * 9
xF = 54x * ln * x + -6x

Multiply x * ln
xF = 54lnx * x + -6x

Multiply lnx * x
xF = 54lnx2 + -6x

Solving
xF = 54lnx2 + -6x

Solving for variable 'x'.

Reorder the terms:
-54lnx2 + 6x + xF = 54lnx2 + -6x + -54lnx2 + 6x

Reorder the terms:
-54lnx2 + 6x + xF = 54lnx2 + -54lnx2 + -6x + 6x

Combine like terms: 54lnx2 + -54lnx2 = 0
-54lnx2 + 6x + xF = 0 + -6x + 6x
-54lnx2 + 6x + xF = -6x + 6x

Combine like terms: -6x + 6x = 0
-54lnx2 + 6x + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-54lnx + 6 + F) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-54lnx + 6 + F)' equal to zero and attempt to solve:

Simplifying
-54lnx + 6 + F = 0

Reorder the terms:
6 + F + -54lnx = 0

Solving
6 + F + -54lnx = 0

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

Add '-6' to each side of the equation.
6 + F + -6 + -54lnx = 0 + -6

Reorder the terms:
6 + -6 + F + -54lnx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + F + -54lnx = 0 + -6
F + -54lnx = 0 + -6

Combine like terms: 0 + -6 = -6
F + -54lnx = -6

Add '-1F' to each side of the equation.
F + -1F + -54lnx = -6 + -1F

Combine like terms: F + -1F = 0
0 + -54lnx = -6 + -1F
-54lnx = -6 + -1F

Divide each side by '-54ln'.
x = 0.1111111111l-1n-1 + 0.01851851852l-1n-1F

Simplifying
x = 0.1111111111l-1n-1 + 0.01851851852l-1n-1F
Solution
x = {0, 0.1111111111l-1n-1 + 0.01851851852l-1n-1F}