lg(x)*(lg(x)-lg(n))=0

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Solution for lg(x)*(lg(x)-lg(n))=0 equation: 


Simplifying
lg(x)(lg(x) + -1lg(n)) = 0

Multiply gl * x
gl * x(glx + -1lg(n)) = 0

Multiply gl * n
gl * x(glx + -1gln) = 0

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

Multiply gl * x
glx(-1gln + glx) = 0
(-1gln * glx + glx * glx) = 0
(-1g2l2nx + g2l2x2) = 0

Solving
-1g2l2nx + g2l2x2 = 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), 'g2l2x'.
g2l2x(-1n + x) = 0


Subproblem 1
Set the factor 'g2l2x' equal to zero and attempt to solve:

Simplifying
g2l2x = 0

Solving
g2l2x = 0

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

Simplifying
g2l2x = 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 '(-1n + x)' equal to zero and attempt to solve:

Simplifying
-1n + x = 0

Solving
-1n + x = 0

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

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

Combine like terms: -1n + n = 0
0 + x = 0 + n
x = 0 + n
Remove the zero:
x = n

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

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

Simplifying
0 = n + -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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