6log(25-x^2)-[log(5+x)+log(5-x)]=

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Solution for 6log(25-x^2)-[log(5+x)+log(5-x)]= equation: 


Simplifying
6log(25 + -1x2) + -1[log(5 + x) + log(5 + -1x)] = 0
(25 * 6glo + -1x2 * 6glo) + -1[log(5 + x) + log(5 + -1x)] = 0
(150glo + -6glox2) + -1[log(5 + x) + log(5 + -1x)] = 0
150glo + -6glox2 + -1[(5 * glo + x * glo) + log(5 + -1x)] = 0
150glo + -6glox2 + -1[(5glo + glox) + log(5 + -1x)] = 0
150glo + -6glox2 + -1[5glo + glox + (5 * glo + -1x * glo)] = 0
150glo + -6glox2 + -1[5glo + glox + (5glo + -1glox)] = 0

Reorder the terms:
150glo + -6glox2 + -1[5glo + 5glo + glox + -1glox] = 0

Combine like terms: 5glo + 5glo = 10glo
150glo + -6glox2 + -1[10glo + glox + -1glox] = 0

Combine like terms: glox + -1glox = 0
150glo + -6glox2 + -1[10glo + 0] = 0
150glo + -6glox2 + -1[10glo] = 0

Remove brackets around [10glo]
150glo + -6glox2 + -1 * 10glo = 0

Multiply -1 * 10
150glo + -6glox2 + -10glo = 0

Reorder the terms:
150glo + -10glo + -6glox2 = 0

Combine like terms: 150glo + -10glo = 140glo
140glo + -6glox2 = 0

Solving
140glo + -6glox2 = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(70 + -3x2) = 0

Ignore the factor 2.

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 '(70 + -3x2)' equal to zero and attempt to solve:

Simplifying
70 + -3x2 = 0

Solving
70 + -3x2 = 0

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

Add '-70' to each side of the equation.
70 + -70 + -3x2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -3x2 = 0 + -70
-3x2 = 0 + -70

Combine like terms: 0 + -70 = -70
-3x2 = -70

Add '3x2' to each side of the equation.
-3x2 + 3x2 = -70 + 3x2

Combine like terms: -3x2 + 3x2 = 0
0 = -70 + 3x2

Simplifying
0 = -70 + 3x2

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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