Ln(2x+5)xln(-x-3)=0

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Solution for Ln(2x+5)xln(-x-3)=0 equation: 


Simplifying
Ln(2x + 5) * xln(-1x + -3) = 0

Reorder the terms:
nL(5 + 2x) * xln(-1x + -3) = 0

Reorder the terms:
nL(5 + 2x) * lnx(-3 + -1x) = 0

Reorder the terms for easier multiplication:
nL * lnx(5 + 2x)(-3 + -1x) = 0

Multiply nL * lnx
ln2xL(5 + 2x)(-3 + -1x) = 0

Multiply (5 + 2x) * (-3 + -1x)
ln2xL(5(-3 + -1x) + 2x * (-3 + -1x)) = 0
ln2xL((-3 * 5 + -1x * 5) + 2x * (-3 + -1x)) = 0
ln2xL((-15 + -5x) + 2x * (-3 + -1x)) = 0
ln2xL(-15 + -5x + (-3 * 2x + -1x * 2x)) = 0
ln2xL(-15 + -5x + (-6x + -2x2)) = 0

Combine like terms: -5x + -6x = -11x
ln2xL(-15 + -11x + -2x2) = 0
(-15 * ln2xL + -11x * ln2xL + -2x2 * ln2xL) = 0
(-15ln2xL + -11ln2x2L + -2ln2x3L) = 0

Solving
-15ln2xL + -11ln2x2L + -2ln2x3L = 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), '-1ln2xL'.
-1ln2xL(15 + 11x + 2x2) = 0

Factor a trinomial.
-1ln2xL((3 + x)(5 + 2x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'ln2xL' equal to zero and attempt to solve:

Simplifying
ln2xL = 0

Solving
ln2xL = 0

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

Simplifying
ln2xL = 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -2x

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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