log(x^2)+log(10)=log(90)

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Solution for log(x^2)+log(10)=log(90) equation: 


Simplifying
log(x2) + log(10) = log(90)

Multiply glo * x2
glox2 + log(10) = log(90)

Reorder the terms for easier multiplication:
glox2 + 10glo = log(90)

Reorder the terms:
10glo + glox2 = log(90)

Reorder the terms for easier multiplication:
10glo + glox2 = 90glo

Solving
10glo + glox2 = 90glo

Solving for variable 'g'.

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

Add '-90glo' to each side of the equation.
10glo + -90glo + glox2 = 90glo + -90glo

Combine like terms: 10glo + -90glo = -80glo
-80glo + glox2 = 90glo + -90glo

Combine like terms: 90glo + -90glo = 0
-80glo + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-80 + x2) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(-80 + x2)' equal to zero and attempt to solve:

Simplifying
-80 + x2 = 0

Solving
-80 + x2 = 0

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

Add '80' to each side of the equation.
-80 + 80 + x2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + x2 = 0 + 80
x2 = 0 + 80

Combine like terms: 0 + 80 = 80
x2 = 80

Add '-1x2' to each side of the equation.
x2 + -1x2 = 80 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 80 + -1x2

Simplifying
0 = 80 + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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