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

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


Simplifying
2ln(x) + ln(3x2 + 2) = 0

Multiply ln * x
2lnx + ln(3x2 + 2) = 0

Reorder the terms:
2lnx + ln(2 + 3x2) = 0
2lnx + (2 * ln + 3x2 * ln) = 0
2lnx + (2ln + 3lnx2) = 0

Reorder the terms:
2ln + 2lnx + 3lnx2 = 0

Solving
2ln + 2lnx + 3lnx2 = 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(2 + 2x + 3x2) = 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 '(2 + 2x + 3x2)' equal to zero and attempt to solve:

Simplifying
2 + 2x + 3x2 = 0

Solving
2 + 2x + 3x2 = 0

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

Add '-2' to each side of the equation.
2 + 2x + -2 + 3x2 = 0 + -2

Reorder the terms:
2 + -2 + 2x + 3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 3x2 = 0 + -2
2x + 3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
2x + 3x2 = -2

Add '-2x' to each side of the equation.
2x + -2x + 3x2 = -2 + -2x

Combine like terms: 2x + -2x = 0
0 + 3x2 = -2 + -2x
3x2 = -2 + -2x

Add '-3x2' to each side of the equation.
3x2 + -3x2 = -2 + -2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = -2 + -2x + -3x2

Simplifying
0 = -2 + -2x + -3x2

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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