3log^2(2-5x)+6=0

Solution for 3log^2(2-5x)+6=0 equation:

Simplifying
3log2(2 + -5x) + 6 = 0
(2 * 3g2lo + -5x * 3g2lo) + 6 = 0
(6g2lo + -15g2lox) + 6 = 0

Reorder the terms:
6 + 6g2lo + -15g2lox = 0

Solving
6 + 6g2lo + -15g2lox = 0

Solving for variable 'g'.

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

Add '-6' to each side of the equation.
6 + 6g2lo + -6 + -15g2lox = 0 + -6

Reorder the terms:
6 + -6 + 6g2lo + -15g2lox = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6g2lo + -15g2lox = 0 + -6
6g2lo + -15g2lox = 0 + -6

Combine like terms: 0 + -6 = -6
6g2lo + -15g2lox = -6

Reorder the terms:
6 + 6g2lo + -15g2lox = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 6g2lo + -15g2lox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 2g2lo + -5g2lox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + 2g2lo + -5g2lox)' equal to zero and attempt to solve:

Simplifying
2 + 2g2lo + -5g2lox = 0

Solving
2 + 2g2lo + -5g2lox = 0

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

Add '-2' to each side of the equation.
2 + 2g2lo + -2 + -5g2lox = 0 + -2

Reorder the terms:
2 + -2 + 2g2lo + -5g2lox = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2g2lo + -5g2lox = 0 + -2
2g2lo + -5g2lox = 0 + -2

Combine like terms: 0 + -2 = -2
2g2lo + -5g2lox = -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.