lg^2=lg(100x)

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Solution for lg^2=lg(100x) equation: 


Simplifying
lg2 = lg(100x)

Remove parenthesis around (100x)
g2l = gl * 100x

Reorder the terms for easier multiplication:
g2l = 100gl * x

Multiply gl * x
g2l = 100glx

Solving
g2l = 100glx

Solving for variable 'g'.

Reorder the terms:
-100glx + g2l = 100glx + -100glx

Combine like terms: 100glx + -100glx = 0
-100glx + g2l = 0

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(-100x + g) = 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 '(-100x + g)' equal to zero and attempt to solve:

Simplifying
-100x + g = 0

Reorder the terms:
g + -100x = 0

Solving
g + -100x = 0

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

Add '100x' to each side of the equation.
g + -100x + 100x = 0 + 100x

Combine like terms: -100x + 100x = 0
g + 0 = 0 + 100x
g = 0 + 100x
Remove the zero:
g = 100x

Simplifying
g = 100x
Solution
g = {100x}

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