2log^3(4X+6)-8=0

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Solution for 2log^3(4X+6)-8=0 equation: 


Simplifying
2log3(4X + 6) + -8 = 0

Reorder the terms:
2g3lo(6 + 4X) + -8 = 0
(6 * 2g3lo + 4X * 2g3lo) + -8 = 0
(12g3lo + 8g3loX) + -8 = 0

Reorder the terms:
-8 + 12g3lo + 8g3loX = 0

Solving
-8 + 12g3lo + 8g3loX = 0

Solving for variable 'g'.

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

Add '8' to each side of the equation.
-8 + 12g3lo + 8 + 8g3loX = 0 + 8

Reorder the terms:
-8 + 8 + 12g3lo + 8g3loX = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 12g3lo + 8g3loX = 0 + 8
12g3lo + 8g3loX = 0 + 8

Combine like terms: 0 + 8 = 8
12g3lo + 8g3loX = 8

Reorder the terms:
-8 + 12g3lo + 8g3loX = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 12g3lo + 8g3loX = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 3g3lo + 2g3loX) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + 3g3lo + 2g3loX)' equal to zero and attempt to solve:

Simplifying
-2 + 3g3lo + 2g3loX = 0

Solving
-2 + 3g3lo + 2g3loX = 0

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

Add '2' to each side of the equation.
-2 + 3g3lo + 2 + 2g3loX = 0 + 2

Reorder the terms:
-2 + 2 + 3g3lo + 2g3loX = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3g3lo + 2g3loX = 0 + 2
3g3lo + 2g3loX = 0 + 2

Combine like terms: 0 + 2 = 2
3g3lo + 2g3loX = 2

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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