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

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

Simplifying
(x + -3) + ln(2x + 3) = ln(-4x2)

Reorder the terms:
(-3 + x) + ln(2x + 3) = ln(-4x2)

Remove parenthesis around (-3 + x)
-3 + x + ln(2x + 3) = ln(-4x2)

Reorder the terms:
-3 + x + ln(3 + 2x) = ln(-4x2)
-3 + x + (3 * ln + 2x * ln) = ln(-4x2)
-3 + x + (3ln + 2lnx) = ln(-4x2)

Reorder the terms:
-3 + 3ln + 2lnx + x = ln(-4x2)

Remove parenthesis around (-4x2)
-3 + 3ln + 2lnx + x = ln * -4x2

Reorder the terms for easier multiplication:
-3 + 3ln + 2lnx + x = -4ln * x2

Multiply ln * x2
-3 + 3ln + 2lnx + x = -4lnx2

Solving
-3 + 3ln + 2lnx + x = -4lnx2

Solving for variable 'l'.

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

Add '4lnx2' to each side of the equation.
-3 + 3ln + 2lnx + 4lnx2 + x = -4lnx2 + 4lnx2

Combine like terms: -4lnx2 + 4lnx2 = 0
-3 + 3ln + 2lnx + 4lnx2 + x = 0

Add '3' to each side of the equation.
-3 + 3ln + 2lnx + 4lnx2 + 3 + x = 0 + 3

Reorder the terms:
-3 + 3 + 3ln + 2lnx + 4lnx2 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3ln + 2lnx + 4lnx2 + x = 0 + 3
3ln + 2lnx + 4lnx2 + x = 0 + 3

Combine like terms: 0 + 3 = 3
3ln + 2lnx + 4lnx2 + x = 3

Add '-1x' to each side of the equation.
3ln + 2lnx + 4lnx2 + x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
3ln + 2lnx + 4lnx2 + 0 = 3 + -1x
3ln + 2lnx + 4lnx2 = 3 + -1x

Reorder the terms:
-3 + 3ln + 2lnx + 4lnx2 + x = 3 + -1x + -3 + x

Reorder the terms:
-3 + 3ln + 2lnx + 4lnx2 + x = 3 + -3 + -1x + x

Combine like terms: 3 + -3 = 0
-3 + 3ln + 2lnx + 4lnx2 + x = 0 + -1x + x
-3 + 3ln + 2lnx + 4lnx2 + x = -1x + x

Combine like terms: -1x + x = 0
-3 + 3ln + 2lnx + 4lnx2 + x = 0

The solution to this equation could not be determined.