7a(3b-2c+4)=

Solution for 7a(3b-2c+4)= equation:

Simplifying
7a(3b + -2c + 4) = 0

Reorder the terms:
7a(4 + 3b + -2c) = 0
(4 * 7a + 3b * 7a + -2c * 7a) = 0
(28a + 21ab + -14ac) = 0

Solving
28a + 21ab + -14ac = 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), '7a'.
7a(4 + 3b + -2c) = 0

Ignore the factor 7.
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 '(4 + 3b + -2c)' equal to zero and attempt to solve:

Simplifying
4 + 3b + -2c = 0

Solving
4 + 3b + -2c = 0

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

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

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

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

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

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

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

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

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

Simplifying
0 = -4 + -3b + 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}