(lgn-lgx)*(n-lgx)=0

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Solution for (lgn-lgx)*(n-lgx)=0 equation: 


Simplifying
(lgn + -1lgx)(n + -1lgx) = 0

Reorder the terms:
(gln + -1glx)(-1glx + n) = 0

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

Reorder the terms:
((gln2 + -1g2l2nx) + -1glx * (-1glx + n)) = 0
((gln2 + -1g2l2nx) + -1glx * (-1glx + n)) = 0
(gln2 + -1g2l2nx + (-1glx * -1glx + n * -1glx)) = 0

Reorder the terms:
(gln2 + -1g2l2nx + (-1glnx + 1g2l2x2)) = 0
(gln2 + -1g2l2nx + (-1glnx + 1g2l2x2)) = 0

Reorder the terms:
(-1glnx + gln2 + -1g2l2nx + 1g2l2x2) = 0
(-1glnx + gln2 + -1g2l2nx + 1g2l2x2) = 0

Solving
-1glnx + gln2 + -1g2l2nx + 1g2l2x2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(-1nx + n2 + -1glnx + glx2) = 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 '(-1nx + n2 + -1glnx + glx2)' equal to zero and attempt to solve:

Simplifying
-1nx + n2 + -1glnx + glx2 = 0

Reorder the terms:
-1glnx + glx2 + -1nx + n2 = 0

Solving
-1glnx + glx2 + -1nx + n2 = 0

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

Add 'nx' to each side of the equation.
-1glnx + glx2 + -1nx + nx + n2 = 0 + nx

Combine like terms: -1nx + nx = 0
-1glnx + glx2 + 0 + n2 = 0 + nx
-1glnx + glx2 + n2 = 0 + nx
Remove the zero:
-1glnx + glx2 + n2 = nx

Add '-1n2' to each side of the equation.
-1glnx + glx2 + n2 + -1n2 = nx + -1n2

Combine like terms: n2 + -1n2 = 0
-1glnx + glx2 + 0 = nx + -1n2
-1glnx + glx2 = nx + -1n2

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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