log(36x^2+25)=log(x^2+2)

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Solution for log(36x^2+25)=log(x^2+2) equation: 


Simplifying
log(36x2 + 25) = log(x2 + 2)

Reorder the terms:
glo(25 + 36x2) = log(x2 + 2)
(25 * glo + 36x2 * glo) = log(x2 + 2)
(25glo + 36glox2) = log(x2 + 2)

Reorder the terms:
25glo + 36glox2 = glo(2 + x2)
25glo + 36glox2 = (2 * glo + x2 * glo)
25glo + 36glox2 = (2glo + glox2)

Solving
25glo + 36glox2 = 2glo + glox2

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
25glo + -2glo + 36glox2 = 2glo + -2glo + glox2

Combine like terms: 25glo + -2glo = 23glo
23glo + 36glox2 = 2glo + -2glo + glox2

Combine like terms: 2glo + -2glo = 0
23glo + 36glox2 = 0 + glox2
23glo + 36glox2 = glox2

Add '-1glox2' to each side of the equation.
23glo + 36glox2 + -1glox2 = glox2 + -1glox2

Combine like terms: 36glox2 + -1glox2 = 35glox2
23glo + 35glox2 = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
23glo + 35glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(23 + 35x2) = 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 '(23 + 35x2)' equal to zero and attempt to solve:

Simplifying
23 + 35x2 = 0

Solving
23 + 35x2 = 0

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

Add '-23' to each side of the equation.
23 + -23 + 35x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 35x2 = 0 + -23
35x2 = 0 + -23

Combine like terms: 0 + -23 = -23
35x2 = -23

Add '-35x2' to each side of the equation.
35x2 + -35x2 = -23 + -35x2

Combine like terms: 35x2 + -35x2 = 0
0 = -23 + -35x2

Simplifying
0 = -23 + -35x2

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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