lg(x+9)+lg(7x+3)=1+lg(x^2+9)

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Solution for lg(x+9)+lg(7x+3)=1+lg(x^2+9) equation: 


Simplifying
lg(x + 9) + lg(7x + 3) = 1 + lg(x2 + 9)

Reorder the terms:
gl(9 + x) + lg(7x + 3) = 1 + lg(x2 + 9)
(9 * gl + x * gl) + lg(7x + 3) = 1 + lg(x2 + 9)
(9gl + glx) + lg(7x + 3) = 1 + lg(x2 + 9)

Reorder the terms:
9gl + glx + gl(3 + 7x) = 1 + lg(x2 + 9)
9gl + glx + (3 * gl + 7x * gl) = 1 + lg(x2 + 9)
9gl + glx + (3gl + 7glx) = 1 + lg(x2 + 9)

Reorder the terms:
9gl + 3gl + glx + 7glx = 1 + lg(x2 + 9)

Combine like terms: 9gl + 3gl = 12gl
12gl + glx + 7glx = 1 + lg(x2 + 9)

Combine like terms: glx + 7glx = 8glx
12gl + 8glx = 1 + lg(x2 + 9)

Reorder the terms:
12gl + 8glx = 1 + gl(9 + x2)
12gl + 8glx = 1 + (9 * gl + x2 * gl)
12gl + 8glx = 1 + (9gl + glx2)

Solving
12gl + 8glx = 1 + 9gl + glx2

Solving for variable 'g'.

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

Add '-9gl' to each side of the equation.
12gl + -9gl + 8glx = 1 + 9gl + -9gl + glx2

Combine like terms: 12gl + -9gl = 3gl
3gl + 8glx = 1 + 9gl + -9gl + glx2

Combine like terms: 9gl + -9gl = 0
3gl + 8glx = 1 + 0 + glx2
3gl + 8glx = 1 + glx2

Add '-1glx2' to each side of the equation.
3gl + 8glx + -1glx2 = 1 + glx2 + -1glx2

Combine like terms: glx2 + -1glx2 = 0
3gl + 8glx + -1glx2 = 1 + 0
3gl + 8glx + -1glx2 = 1

Reorder the terms:
-1 + 3gl + 8glx + -1glx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 3gl + 8glx + -1glx2 = 0

The solution to this equation could not be determined.

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