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

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


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

Reorder the terms:
150glo + -6glox2 + -1(5glo + 5glo + glox + -1glox) = x

Combine like terms: 5glo + 5glo = 10glo
150glo + -6glox2 + -1(10glo + glox + -1glox) = x

Combine like terms: glox + -1glox = 0
150glo + -6glox2 + -1(10glo + 0) = x
150glo + -6glox2 + -1(10glo) = x

Remove parenthesis around (10glo)
150glo + -6glox2 + -1 * 10glo = x

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

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

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

Solving
140glo + -6glox2 = x

Solving for variable 'g'.

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

Combine like terms: x + -1x = 0
140glo + -6glox2 + -1x = 0

The solution to this equation could not be determined.

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