logx*logx-3logx+2=0

Solution for logx*logx-3logx+2=0 equation:

Simplifying
logx * logx + -3logx + 2 = 0

Multiply glox * glox
g2l2o2x2 + -3logx + 2 = 0

Reorder the terms:
2 + -3glox + g2l2o2x2 = 0

Solving
2 + -3glox + g2l2o2x2 = 0

Solving for variable 'g'.

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

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