6a+7ac-2a+ac=

Solution for 6a+7ac-2a+ac= equation:

Simplifying
6a + 7ac + -2a + ac = 0

Reorder the terms:
6a + -2a + 7ac + ac = 0

Combine like terms: 6a + -2a = 4a
4a + 7ac + ac = 0

Combine like terms: 7ac + ac = 8ac
4a + 8ac = 0

Solving
4a + 8ac = 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), '4a'.
4a(1 + 2c) = 0

Ignore the factor 4.
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 '(1 + 2c)' equal to zero and attempt to solve:

Simplifying
1 + 2c = 0

Solving
1 + 2c = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2c = 0 + -1
2c = 0 + -1

Combine like terms: 0 + -1 = -1
2c = -1

Add '-2c' to each side of the equation.
2c + -2c = -1 + -2c

Combine like terms: 2c + -2c = 0
0 = -1 + -2c

Simplifying
0 = -1 + -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}