42*x+27*ln(2x+1)=6

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Solution for 42*x+27*ln(2x+1)=6 equation: 


Simplifying
42x + 27ln(2x + 1) = 6

Reorder the terms:
42x + 27ln(1 + 2x) = 6
42x + (1 * 27ln + 2x * 27ln) = 6
42x + (27ln + 54lnx) = 6

Reorder the terms:
27ln + 54lnx + 42x = 6

Solving
27ln + 54lnx + 42x = 6

Solving for variable 'l'.

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

Add '-42x' to each side of the equation.
27ln + 54lnx + 42x + -42x = 6 + -42x

Combine like terms: 42x + -42x = 0
27ln + 54lnx + 0 = 6 + -42x
27ln + 54lnx = 6 + -42x

Reorder the terms:
-6 + 27ln + 54lnx + 42x = 6 + -42x + -6 + 42x

Reorder the terms:
-6 + 27ln + 54lnx + 42x = 6 + -6 + -42x + 42x

Combine like terms: 6 + -6 = 0
-6 + 27ln + 54lnx + 42x = 0 + -42x + 42x
-6 + 27ln + 54lnx + 42x = -42x + 42x

Combine like terms: -42x + 42x = 0
-6 + 27ln + 54lnx + 42x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 9ln + 18lnx + 14x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-2 + 9ln + 18lnx + 14x)' equal to zero and attempt to solve:

Simplifying
-2 + 9ln + 18lnx + 14x = 0

Solving
-2 + 9ln + 18lnx + 14x = 0

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

Add '2' to each side of the equation.
-2 + 9ln + 18lnx + 2 + 14x = 0 + 2

Reorder the terms:
-2 + 2 + 9ln + 18lnx + 14x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 9ln + 18lnx + 14x = 0 + 2
9ln + 18lnx + 14x = 0 + 2

Combine like terms: 0 + 2 = 2
9ln + 18lnx + 14x = 2

Add '-14x' to each side of the equation.
9ln + 18lnx + 14x + -14x = 2 + -14x

Combine like terms: 14x + -14x = 0
9ln + 18lnx + 0 = 2 + -14x
9ln + 18lnx = 2 + -14x

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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