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

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

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

Reorder the terms for easier multiplication:
3 * 2glo(2 + -5x) + 6 = 0

Multiply 3 * 2
6glo(2 + -5x) + 6 = 0
(2 * 6glo + -5x * 6glo) + 6 = 0
(12glo + -30glox) + 6 = 0

Reorder the terms:
6 + 12glo + -30glox = 0

Solving
6 + 12glo + -30glox = 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 + 12glo + -6 + -30glox = 0 + -6

Reorder the terms:
6 + -6 + 12glo + -30glox = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 12glo + -30glox = 0 + -6
12glo + -30glox = 0 + -6

Combine like terms: 0 + -6 = -6
12glo + -30glox = -6

Reorder the terms:
6 + 12glo + -30glox = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 12glo + -30glox = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + 2glo + -5glox) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + 2glo + -5glox)' equal to zero and attempt to solve:

Simplifying
1 + 2glo + -5glox = 0

Solving
1 + 2glo + -5glox = 0

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

Add '-1' to each side of the equation.
1 + 2glo + -1 + -5glox = 0 + -1

Reorder the terms:
1 + -1 + 2glo + -5glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2glo + -5glox = 0 + -1
2glo + -5glox = 0 + -1

Combine like terms: 0 + -1 = -1
2glo + -5glox = -1

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.