a(7b-2c)=

Solution for a(7b-2c)= equation:

Simplifying
a(7b + -2c) = 0
(7b * a + -2c * a) = 0
(7ab + -2ac) = 0

Solving
7ab + -2ac = 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), 'a'.
a(7b + -2c) = 0

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 '(7b + -2c)' equal to zero and attempt to solve:

Simplifying
7b + -2c = 0

Solving
7b + -2c = 0

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

Add '-7b' to each side of the equation.
7b + -7b + -2c = 0 + -7b

Combine like terms: 7b + -7b = 0
0 + -2c = 0 + -7b
-2c = 0 + -7b
Remove the zero:
-2c = -7b

Add '2c' to each side of the equation.
-2c + 2c = -7b + 2c

Combine like terms: -2c + 2c = 0
0 = -7b + 2c

Simplifying
0 = -7b + 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}