lg(x+1)+lg(x+3)=0

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Solution for lg(x+1)+lg(x+3)=0 equation: 


Simplifying
lg(x + 1) + lg(x + 3) = 0

Reorder the terms:
gl(1 + x) + lg(x + 3) = 0
(1 * gl + x * gl) + lg(x + 3) = 0
(1gl + glx) + lg(x + 3) = 0

Reorder the terms:
1gl + glx + gl(3 + x) = 0
1gl + glx + (3 * gl + x * gl) = 0
1gl + glx + (3gl + glx) = 0

Reorder the terms:
1gl + 3gl + glx + glx = 0

Combine like terms: 1gl + 3gl = 4gl
4gl + glx + glx = 0

Combine like terms: glx + glx = 2glx
4gl + 2glx = 0

Solving
4gl + 2glx = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '2gl'.
2gl(2 + x) = 0

Ignore the factor 2.

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

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Add '-1x' to each side of the equation.
x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
0 = -2 + -1x

Simplifying
0 = -2 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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