ln(x+6)+ln(x+1)=0

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Solution for ln(x+6)+ln(x+1)=0 equation: 


Simplifying
ln(x + 6) + ln(x + 1) = 0

Reorder the terms:
ln(6 + x) + ln(x + 1) = 0
(6 * ln + x * ln) + ln(x + 1) = 0
(6ln + lnx) + ln(x + 1) = 0

Reorder the terms:
6ln + lnx + ln(1 + x) = 0
6ln + lnx + (1 * ln + x * ln) = 0
6ln + lnx + (1ln + lnx) = 0

Reorder the terms:
6ln + 1ln + lnx + lnx = 0

Combine like terms: 6ln + 1ln = 7ln
7ln + lnx + lnx = 0

Combine like terms: lnx + lnx = 2lnx
7ln + 2lnx = 0

Solving
7ln + 2lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(7 + 2x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Add '-2x' to each side of the equation.
2x + -2x = -7 + -2x

Combine like terms: 2x + -2x = 0
0 = -7 + -2x

Simplifying
0 = -7 + -2x

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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