-8a(3-4b+7c)=

Solution for -8a(3-4b+7c)= equation:

Simplifying
-8a(3 + -4b + 7c) = 0
(3 * -8a + -4b * -8a + 7c * -8a) = 0
(-24a + 32ab + -56ac) = 0

Solving
-24a + 32ab + -56ac = 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), '8a'.
8a(-3 + 4b + -7c) = 0

Ignore the factor 8.
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 + -7c)' equal to zero and attempt to solve:

Simplifying
-3 + 4b + -7c = 0

Solving
-3 + 4b + -7c = 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 + -7c = 0 + 3

Reorder the terms:
-3 + 3 + 4b + -7c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4b + -7c = 0 + 3
4b + -7c = 0 + 3

Combine like terms: 0 + 3 = 3
4b + -7c = 3

Add '-4b' to each side of the equation.
4b + -4b + -7c = 3 + -4b

Combine like terms: 4b + -4b = 0
0 + -7c = 3 + -4b
-7c = 3 + -4b

Add '7c' to each side of the equation.
-7c + 7c = 3 + -4b + 7c

Combine like terms: -7c + 7c = 0
0 = 3 + -4b + 7c

Simplifying
0 = 3 + -4b + 7c

The solution to this equation could not be determined.

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