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

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


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

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

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

Reorder the terms for easier multiplication:
ln(-2 + 2x + x3)(4 + x2) = 0

Multiply (-2 + 2x + x3) * (4 + x2)
ln(-2(4 + x2) + 2x * (4 + x2) + x3(4 + x2)) = 0
ln((4 * -2 + x2 * -2) + 2x * (4 + x2) + x3(4 + x2)) = 0
ln((-8 + -2x2) + 2x * (4 + x2) + x3(4 + x2)) = 0
ln(-8 + -2x2 + (4 * 2x + x2 * 2x) + x3(4 + x2)) = 0
ln(-8 + -2x2 + (8x + 2x3) + x3(4 + x2)) = 0
ln(-8 + -2x2 + 8x + 2x3 + (4 * x3 + x2 * x3)) = 0
ln(-8 + -2x2 + 8x + 2x3 + (4x3 + x5)) = 0

Reorder the terms:
ln(-8 + 8x + -2x2 + 2x3 + 4x3 + x5) = 0

Combine like terms: 2x3 + 4x3 = 6x3
ln(-8 + 8x + -2x2 + 6x3 + x5) = 0
(-8 * ln + 8x * ln + -2x2 * ln + 6x3 * ln + x5 * ln) = 0
(-8ln + 8lnx + -2lnx2 + 6lnx3 + lnx5) = 0

Solving
-8ln + 8lnx + -2lnx2 + 6lnx3 + lnx5 = 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(-8 + 8x + -2x2 + 6x3 + x5) = 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 '(-8 + 8x + -2x2 + 6x3 + x5)' equal to zero and attempt to solve:

Simplifying
-8 + 8x + -2x2 + 6x3 + x5 = 0

Solving
-8 + 8x + -2x2 + 6x3 + x5 = 0

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

Add '8' to each side of the equation.
-8 + 8x + -2x2 + 6x3 + 8 + x5 = 0 + 8

Reorder the terms:
-8 + 8 + 8x + -2x2 + 6x3 + x5 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 8x + -2x2 + 6x3 + x5 = 0 + 8
8x + -2x2 + 6x3 + x5 = 0 + 8

Combine like terms: 0 + 8 = 8
8x + -2x2 + 6x3 + x5 = 8

Add '-8x' to each side of the equation.
8x + -2x2 + 6x3 + -8x + x5 = 8 + -8x

Reorder the terms:
8x + -8x + -2x2 + 6x3 + x5 = 8 + -8x

Combine like terms: 8x + -8x = 0
0 + -2x2 + 6x3 + x5 = 8 + -8x
-2x2 + 6x3 + x5 = 8 + -8x

Add '2x2' to each side of the equation.
-2x2 + 6x3 + 2x2 + x5 = 8 + -8x + 2x2

Reorder the terms:
-2x2 + 2x2 + 6x3 + x5 = 8 + -8x + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 + 6x3 + x5 = 8 + -8x + 2x2
6x3 + x5 = 8 + -8x + 2x2

Add '-6x3' to each side of the equation.
6x3 + -6x3 + x5 = 8 + -8x + 2x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
0 + x5 = 8 + -8x + 2x2 + -6x3
x5 = 8 + -8x + 2x2 + -6x3

Add '-1x5' to each side of the equation.
x5 + -1x5 = 8 + -8x + 2x2 + -6x3 + -1x5

Combine like terms: x5 + -1x5 = 0
0 = 8 + -8x + 2x2 + -6x3 + -1x5

Simplifying
0 = 8 + -8x + 2x2 + -6x3 + -1x5

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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