3log^2(6x-4)+2=11

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Solution for 3log^2(6x-4)+2=11 equation: 


Simplifying
3log2(6x + -4) + 2 = 11

Reorder the terms:
3g2lo(-4 + 6x) + 2 = 11
(-4 * 3g2lo + 6x * 3g2lo) + 2 = 11
(-12g2lo + 18g2lox) + 2 = 11

Reorder the terms:
2 + -12g2lo + 18g2lox = 11

Solving
2 + -12g2lo + 18g2lox = 11

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 + -12g2lo + -2 + 18g2lox = 11 + -2

Reorder the terms:
2 + -2 + -12g2lo + 18g2lox = 11 + -2

Combine like terms: 2 + -2 = 0
0 + -12g2lo + 18g2lox = 11 + -2
-12g2lo + 18g2lox = 11 + -2

Combine like terms: 11 + -2 = 9
-12g2lo + 18g2lox = 9

Reorder the terms:
-9 + -12g2lo + 18g2lox = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -12g2lo + 18g2lox = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -4g2lo + 6g2lox)' equal to zero and attempt to solve:

Simplifying
-3 + -4g2lo + 6g2lox = 0

Solving
-3 + -4g2lo + 6g2lox = 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 + 6g2lox = 0 + 3

Reorder the terms:
-3 + 3 + -4g2lo + 6g2lox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4g2lo + 6g2lox = 0 + 3
-4g2lo + 6g2lox = 0 + 3

Combine like terms: 0 + 3 = 3
-4g2lo + 6g2lox = 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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