logx*logx=2-logx

Solution for logx*logx=2-logx equation:

Simplifying
logx * logx = 2 + -1logx

Multiply glox * glox
g2l2o2x2 = 2 + -1logx

Solving
g2l2o2x2 = 2 + -1glox

Solving for variable 'g'.

Reorder the terms:
-2 + glox + g2l2o2x2 = 2 + -1glox + -2 + glox

Reorder the terms:
-2 + glox + g2l2o2x2 = 2 + -2 + -1glox + glox

Combine like terms: 2 + -2 = 0
-2 + glox + g2l2o2x2 = 0 + -1glox + glox
-2 + glox + g2l2o2x2 = -1glox + glox

Combine like terms: -1glox + glox = 0
-2 + glox + g2l2o2x2 = 0

Factor a trinomial.
(-2 + -1glox)(1 + -1glox) = 0

Subproblem 1
Set the factor '(-2 + -1glox)' equal to zero and attempt to solve:

Simplifying
-2 + -1glox = 0

Solving
-2 + -1glox = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1glox = 0 + 2
-1glox = 0 + 2

Combine like terms: 0 + 2 = 2
-1glox = 2

Divide each side by '-1lox'.
g = -2l-1o-1x-1

Simplifying
g = -2l-1o-1x-1
Subproblem 2
Set the factor '(1 + -1glox)' equal to zero and attempt to solve:

Simplifying
1 + -1glox = 0

Solving
1 + -1glox = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1glox = 0 + -1
-1glox = 0 + -1

Combine like terms: 0 + -1 = -1
-1glox = -1

Divide each side by '-1lox'.
g = l-1o-1x-1

Simplifying
g = l-1o-1x-1
Solution
g = {-2l-1o-1x-1, l-1o-1x-1}