3log^2(4x+8)+2=20

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Solution for 3log^2(4x+8)+2=20 equation: 


Simplifying
3log2(4x + 8) + 2 = 20

Reorder the terms:
3g2lo(8 + 4x) + 2 = 20
(8 * 3g2lo + 4x * 3g2lo) + 2 = 20
(24g2lo + 12g2lox) + 2 = 20

Reorder the terms:
2 + 24g2lo + 12g2lox = 20

Solving
2 + 24g2lo + 12g2lox = 20

Solving for variable 'g'.

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

Add '-2' to each side of the equation.
2 + 24g2lo + -2 + 12g2lox = 20 + -2

Reorder the terms:
2 + -2 + 24g2lo + 12g2lox = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 24g2lo + 12g2lox = 20 + -2
24g2lo + 12g2lox = 20 + -2

Combine like terms: 20 + -2 = 18
24g2lo + 12g2lox = 18

Reorder the terms:
-18 + 24g2lo + 12g2lox = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 24g2lo + 12g2lox = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + 4g2lo + 2g2lox) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-3 + 4g2lo + 2g2lox)' equal to zero and attempt to solve:

Simplifying
-3 + 4g2lo + 2g2lox = 0

Solving
-3 + 4g2lo + 2g2lox = 0

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

Add '3' to each side of the equation.
-3 + 4g2lo + 3 + 2g2lox = 0 + 3

Reorder the terms:
-3 + 3 + 4g2lo + 2g2lox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4g2lo + 2g2lox = 0 + 3
4g2lo + 2g2lox = 0 + 3

Combine like terms: 0 + 3 = 3
4g2lo + 2g2lox = 3

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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