log(x^2-x-12)+x=log(x+3)-5

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Solution for log(x^2-x-12)+x=log(x+3)-5 equation:


Simplifying
log(x2 + -1x + -12) + x = log(x + 3) + -5

Reorder the terms:
glo(-12 + -1x + x2) + x = log(x + 3) + -5
(-12 * glo + -1x * glo + x2 * glo) + x = log(x + 3) + -5
(-12glo + -1glox + glox2) + x = log(x + 3) + -5

Reorder the terms:
-12glo + -1glox + glox2 + x = glo(3 + x) + -5
-12glo + -1glox + glox2 + x = (3 * glo + x * glo) + -5
-12glo + -1glox + glox2 + x = (3glo + glox) + -5

Reorder the terms:
-12glo + -1glox + glox2 + x = -5 + 3glo + glox

Solving
-12glo + -1glox + glox2 + x = -5 + 3glo + glox

Solving for variable 'g'.

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

Add '-3glo' to each side of the equation.
-12glo + -1glox + glox2 + -3glo + x = -5 + 3glo + -3glo + glox

Reorder the terms:
-12glo + -3glo + -1glox + glox2 + x = -5 + 3glo + -3glo + glox

Combine like terms: -12glo + -3glo = -15glo
-15glo + -1glox + glox2 + x = -5 + 3glo + -3glo + glox

Combine like terms: 3glo + -3glo = 0
-15glo + -1glox + glox2 + x = -5 + 0 + glox
-15glo + -1glox + glox2 + x = -5 + glox

Add '-1glox' to each side of the equation.
-15glo + -1glox + glox2 + -1glox + x = -5 + glox + -1glox

Reorder the terms:
-15glo + -1glox + -1glox + glox2 + x = -5 + glox + -1glox

Combine like terms: -1glox + -1glox = -2glox
-15glo + -2glox + glox2 + x = -5 + glox + -1glox

Combine like terms: glox + -1glox = 0
-15glo + -2glox + glox2 + x = -5 + 0
-15glo + -2glox + glox2 + x = -5

Add '-1x' to each side of the equation.
-15glo + -2glox + glox2 + x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
-15glo + -2glox + glox2 + 0 = -5 + -1x
-15glo + -2glox + glox2 = -5 + -1x

Reorder the terms:
5 + -15glo + -2glox + glox2 + x = -5 + -1x + 5 + x

Reorder the terms:
5 + -15glo + -2glox + glox2 + x = -5 + 5 + -1x + x

Combine like terms: -5 + 5 = 0
5 + -15glo + -2glox + glox2 + x = 0 + -1x + x
5 + -15glo + -2glox + glox2 + x = -1x + x

Combine like terms: -1x + x = 0
5 + -15glo + -2glox + glox2 + x = 0

The solution to this equation could not be determined.

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