6xln(x-2)-5x-16ln(x-2)+8=0

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Solution for 6xln(x-2)-5x-16ln(x-2)+8=0 equation: 


Simplifying
6xln(x + -2) + -5x + -16ln(x + -2) + 8 = 0

Reorder the terms:
6lnx(-2 + x) + -5x + -16ln(x + -2) + 8 = 0
(-2 * 6lnx + x * 6lnx) + -5x + -16ln(x + -2) + 8 = 0
(-12lnx + 6lnx2) + -5x + -16ln(x + -2) + 8 = 0

Reorder the terms:
-12lnx + 6lnx2 + -5x + -16ln(-2 + x) + 8 = 0
-12lnx + 6lnx2 + -5x + (-2 * -16ln + x * -16ln) + 8 = 0
-12lnx + 6lnx2 + -5x + (32ln + -16lnx) + 8 = 0

Reorder the terms:
8 + 32ln + -12lnx + -16lnx + 6lnx2 + -5x = 0

Combine like terms: -12lnx + -16lnx = -28lnx
8 + 32ln + -28lnx + 6lnx2 + -5x = 0

Solving
8 + 32ln + -28lnx + 6lnx2 + -5x = 0

Solving for variable 'l'.

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

Add '-8' to each side of the equation.
8 + 32ln + -28lnx + 6lnx2 + -8 + -5x = 0 + -8

Reorder the terms:
8 + -8 + 32ln + -28lnx + 6lnx2 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 32ln + -28lnx + 6lnx2 + -5x = 0 + -8
32ln + -28lnx + 6lnx2 + -5x = 0 + -8

Combine like terms: 0 + -8 = -8
32ln + -28lnx + 6lnx2 + -5x = -8

Add '5x' to each side of the equation.
32ln + -28lnx + 6lnx2 + -5x + 5x = -8 + 5x

Combine like terms: -5x + 5x = 0
32ln + -28lnx + 6lnx2 + 0 = -8 + 5x
32ln + -28lnx + 6lnx2 = -8 + 5x

Reorder the terms:
8 + 32ln + -28lnx + 6lnx2 + -5x = -8 + 5x + 8 + -5x

Reorder the terms:
8 + 32ln + -28lnx + 6lnx2 + -5x = -8 + 8 + 5x + -5x

Combine like terms: -8 + 8 = 0
8 + 32ln + -28lnx + 6lnx2 + -5x = 0 + 5x + -5x
8 + 32ln + -28lnx + 6lnx2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 32ln + -28lnx + 6lnx2 + -5x = 0

The solution to this equation could not be determined.

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