lg(x+1)+1=lg(x-10x)

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Solution for lg(x+1)+1=lg(x-10x) equation:


Simplifying
lg(x + 1) + 1 = lg(x + -10x)

Reorder the terms:
gl(1 + x) + 1 = lg(x + -10x)
(1 * gl + x * gl) + 1 = lg(x + -10x)
(1gl + glx) + 1 = lg(x + -10x)

Reorder the terms:
1 + 1gl + glx = lg(x + -10x)

Combine like terms: x + -10x = -9x
1 + 1gl + glx = gl(-9x)

Remove parenthesis around (-9x)
1 + 1gl + glx = gl * -9x

Reorder the terms for easier multiplication:
1 + 1gl + glx = -9gl * x

Multiply gl * x
1 + 1gl + glx = -9glx

Solving
1 + 1gl + glx = -9glx

Solving for variable 'g'.

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

Add '9glx' to each side of the equation.
1 + 1gl + glx + 9glx = -9glx + 9glx

Combine like terms: glx + 9glx = 10glx
1 + 1gl + 10glx = -9glx + 9glx

Combine like terms: -9glx + 9glx = 0
1 + 1gl + 10glx = 0

Add '-1' to each side of the equation.
1 + 1gl + -1 + 10glx = 0 + -1

Reorder the terms:
1 + -1 + 1gl + 10glx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1gl + 10glx = 0 + -1
1gl + 10glx = 0 + -1

Combine like terms: 0 + -1 = -1
1gl + 10glx = -1

Reorder the terms:
1 + 1gl + 10glx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 1gl + 10glx = 0

The solution to this equation could not be determined.

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