6a-8ab+4ac=0

Solution for 6a-8ab+4ac=0 equation:

Simplifying
6a + -8ab + 4ac = 0

Solving
6a + -8ab + 4ac = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2a'.
2a(3 + -4b + 2c) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(3 + -4b + 2c)' equal to zero and attempt to solve:

Simplifying
3 + -4b + 2c = 0

Solving
3 + -4b + 2c = 0

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

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

Reorder the terms:
3 + -3 + -4b + 2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4b + 2c = 0 + -3
-4b + 2c = 0 + -3

Combine like terms: 0 + -3 = -3
-4b + 2c = -3

Add '4b' to each side of the equation.
-4b + 4b + 2c = -3 + 4b

Combine like terms: -4b + 4b = 0
0 + 2c = -3 + 4b
2c = -3 + 4b

Add '-2c' to each side of the equation.
2c + -2c = -3 + 4b + -2c

Combine like terms: 2c + -2c = 0
0 = -3 + 4b + -2c

Simplifying
0 = -3 + 4b + -2c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}