4a(7b-2)=

Solution for 4a(7b-2)= equation:

Simplifying
4a(7b + -2) = 0

Reorder the terms:
4a(-2 + 7b) = 0
(-2 * 4a + 7b * 4a) = 0
(-8a + 28ab) = 0

Solving
-8a + 28ab = 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(-2 + 7b) = 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 '(-2 + 7b)' equal to zero and attempt to solve:

Simplifying
-2 + 7b = 0

Solving
-2 + 7b = 0

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

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

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

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

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

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

Simplifying
0 = 2 + -7b

The solution to this equation could not be determined.

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