lg(x^2-4)=2+lg(x-2)

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Solution for lg(x^2-4)=2+lg(x-2) equation: 


Simplifying
lg(x2 + -4) = 2 + lg(x + -2)

Reorder the terms:
gl(-4 + x2) = 2 + lg(x + -2)
(-4 * gl + x2 * gl) = 2 + lg(x + -2)
(-4gl + glx2) = 2 + lg(x + -2)

Reorder the terms:
-4gl + glx2 = 2 + gl(-2 + x)
-4gl + glx2 = 2 + (-2 * gl + x * gl)
-4gl + glx2 = 2 + (-2gl + glx)

Solving
-4gl + glx2 = 2 + -2gl + glx

Solving for variable 'g'.

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

Add '2gl' to each side of the equation.
-4gl + 2gl + glx2 = 2 + -2gl + 2gl + glx

Combine like terms: -4gl + 2gl = -2gl
-2gl + glx2 = 2 + -2gl + 2gl + glx

Combine like terms: -2gl + 2gl = 0
-2gl + glx2 = 2 + 0 + glx
-2gl + glx2 = 2 + glx

Add '-1glx' to each side of the equation.
-2gl + -1glx + glx2 = 2 + glx + -1glx

Combine like terms: glx + -1glx = 0
-2gl + -1glx + glx2 = 2 + 0
-2gl + -1glx + glx2 = 2

Reorder the terms:
-2 + -2gl + -1glx + glx2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2gl + -1glx + glx2 = 0

The solution to this equation could not be determined.

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