log(x^2+9x+14)-2log(x+7)=

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Solution for log(x^2+9x+14)-2log(x+7)= equation: 


Simplifying
log(x2 + 9x + 14) + -2log(x + 7) = 0

Reorder the terms:
glo(14 + 9x + x2) + -2log(x + 7) = 0
(14 * glo + 9x * glo + x2 * glo) + -2log(x + 7) = 0
(14glo + 9glox + glox2) + -2log(x + 7) = 0

Reorder the terms:
14glo + 9glox + glox2 + -2glo(7 + x) = 0
14glo + 9glox + glox2 + (7 * -2glo + x * -2glo) = 0
14glo + 9glox + glox2 + (-14glo + -2glox) = 0

Reorder the terms:
14glo + -14glo + 9glox + -2glox + glox2 = 0

Combine like terms: 14glo + -14glo = 0
0 + 9glox + -2glox + glox2 = 0
9glox + -2glox + glox2 = 0

Combine like terms: 9glox + -2glox = 7glox
7glox + glox2 = 0

Solving
7glox + glox2 = 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), 'glox'.
glox(7 + x) = 0


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

Simplifying
glox = 0

Solving
glox = 0

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

Simplifying
glox = 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Add '-1x' to each side of the equation.
x + -1x = -7 + -1x

Combine like terms: x + -1x = 0
0 = -7 + -1x

Simplifying
0 = -7 + -1x

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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