Log(x+4)*log(2x-3)=0

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Solution for Log(x+4)*log(2x-3)=0 equation: 


Simplifying
Log(x + 4) * log(2x + -3) = 0

Reorder the terms:
goL(4 + x) * log(2x + -3) = 0

Reorder the terms:
goL(4 + x) * glo(-3 + 2x) = 0

Reorder the terms for easier multiplication:
goL * glo(4 + x)(-3 + 2x) = 0

Multiply goL * glo
g2lo2L(4 + x)(-3 + 2x) = 0

Multiply (4 + x) * (-3 + 2x)
g2lo2L(4(-3 + 2x) + x(-3 + 2x)) = 0
g2lo2L((-3 * 4 + 2x * 4) + x(-3 + 2x)) = 0
g2lo2L((-12 + 8x) + x(-3 + 2x)) = 0
g2lo2L(-12 + 8x + (-3 * x + 2x * x)) = 0
g2lo2L(-12 + 8x + (-3x + 2x2)) = 0

Combine like terms: 8x + -3x = 5x
g2lo2L(-12 + 5x + 2x2) = 0
(-12 * g2lo2L + 5x * g2lo2L + 2x2 * g2lo2L) = 0
(-12g2lo2L + 5g2lo2xL + 2g2lo2x2L) = 0

Solving
-12g2lo2L + 5g2lo2xL + 2g2lo2x2L = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'g2lo2L'.
g2lo2L(-12 + 5x + 2x2) = 0

Factor a trinomial.
g2lo2L((-4 + -1x)(3 + -2x)) = 0


Subproblem 1
Set the factor 'g2lo2L' equal to zero and attempt to solve:

Simplifying
g2lo2L = 0

Solving
g2lo2L = 0

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

Simplifying
g2lo2L = 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 '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Add 'x' to each side of the equation.
-1x + x = 4 + x

Combine like terms: -1x + x = 0
0 = 4 + x

Simplifying
0 = 4 + x

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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

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

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

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

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

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

Simplifying
0 = -3 + 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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