ln(x^3-8)-ln(x^2+2x+4)+ln(x+2)=0

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Solution for ln(x^3-8)-ln(x^2+2x+4)+ln(x+2)=0 equation: 


Simplifying
ln(x3 + -8) + -1ln(x2 + 2x + 4) + ln(x + 2) = 0

Reorder the terms:
ln(-8 + x3) + -1ln(x2 + 2x + 4) + ln(x + 2) = 0
(-8 * ln + x3 * ln) + -1ln(x2 + 2x + 4) + ln(x + 2) = 0
(-8ln + lnx3) + -1ln(x2 + 2x + 4) + ln(x + 2) = 0

Reorder the terms:
-8ln + lnx3 + -1ln(4 + 2x + x2) + ln(x + 2) = 0
-8ln + lnx3 + (4 * -1ln + 2x * -1ln + x2 * -1ln) + ln(x + 2) = 0
-8ln + lnx3 + (-4ln + -2lnx + -1lnx2) + ln(x + 2) = 0

Reorder the terms:
-8ln + lnx3 + -4ln + -2lnx + -1lnx2 + ln(2 + x) = 0
-8ln + lnx3 + -4ln + -2lnx + -1lnx2 + (2 * ln + x * ln) = 0
-8ln + lnx3 + -4ln + -2lnx + -1lnx2 + (2ln + lnx) = 0

Reorder the terms:
-8ln + -4ln + 2ln + -2lnx + lnx + -1lnx2 + lnx3 = 0

Combine like terms: -8ln + -4ln = -12ln
-12ln + 2ln + -2lnx + lnx + -1lnx2 + lnx3 = 0

Combine like terms: -12ln + 2ln = -10ln
-10ln + -2lnx + lnx + -1lnx2 + lnx3 = 0

Combine like terms: -2lnx + lnx = -1lnx
-10ln + -1lnx + -1lnx2 + lnx3 = 0

Solving
-10ln + -1lnx + -1lnx2 + lnx3 = 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(-10 + -1x + -1x2 + x3) = 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 '(-10 + -1x + -1x2 + x3)' equal to zero and attempt to solve:

Simplifying
-10 + -1x + -1x2 + x3 = 0

Solving
-10 + -1x + -1x2 + x3 = 0

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

Add '10' to each side of the equation.
-10 + -1x + -1x2 + 10 + x3 = 0 + 10

Reorder the terms:
-10 + 10 + -1x + -1x2 + x3 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x + -1x2 + x3 = 0 + 10
-1x + -1x2 + x3 = 0 + 10

Combine like terms: 0 + 10 = 10
-1x + -1x2 + x3 = 10

Add 'x' to each side of the equation.
-1x + -1x2 + x + x3 = 10 + x

Reorder the terms:
-1x + x + -1x2 + x3 = 10 + x

Combine like terms: -1x + x = 0
0 + -1x2 + x3 = 10 + x
-1x2 + x3 = 10 + x

Add 'x2' to each side of the equation.
-1x2 + x2 + x3 = 10 + x + x2

Combine like terms: -1x2 + x2 = 0
0 + x3 = 10 + x + x2
x3 = 10 + x + x2

Add '-1x3' to each side of the equation.
x3 + -1x3 = 10 + x + x2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 10 + x + x2 + -1x3

Simplifying
0 = 10 + x + x2 + -1x3

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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