log^2(x)+2log(x)=0

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Solution for log^2(x)+2log(x)=0 equation: 


Simplifying
log2(x) + 2log(x) = 0

Multiply g2lo * x
g2lox + 2log(x) = 0

Multiply glo * x
g2lox + 2glox = 0

Reorder the terms:
2glox + g2lox = 0

Solving
2glox + g2lox = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'glox'.
glox(2 + g) = 0


Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve:

Simplifying
glox = 0

Solving
glox = 0

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

Simplifying
glox = 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 '(2 + g)' equal to zero and attempt to solve:

Simplifying
2 + g = 0

Solving
2 + g = 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 + g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + g = 0 + -2
g = 0 + -2

Combine like terms: 0 + -2 = -2
g = -2

Simplifying
g = -2
Solution
g = {-2}

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