lg(x+7)+lg(x-8)=0

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Solution for lg(x+7)+lg(x-8)=0 equation: 


Simplifying
lg(x + 7) + lg(x + -8) = 0

Reorder the terms:
gl(7 + x) + lg(x + -8) = 0
(7 * gl + x * gl) + lg(x + -8) = 0
(7gl + glx) + lg(x + -8) = 0

Reorder the terms:
7gl + glx + gl(-8 + x) = 0
7gl + glx + (-8 * gl + x * gl) = 0
7gl + glx + (-8gl + glx) = 0

Reorder the terms:
7gl + -8gl + glx + glx = 0

Combine like terms: 7gl + -8gl = -1gl
-1gl + glx + glx = 0

Combine like terms: glx + glx = 2glx
-1gl + 2glx = 0

Solving
-1gl + 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), 'gl'.
gl(-1 + 2x) = 0


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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -2x

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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