-3a(10b-4c)=

Solution for -3a(10b-4c)= equation:

Simplifying
-3a(10b + -4c) = 0
(10b * -3a + -4c * -3a) = 0
(-30ab + 12ac) = 0

Solving
-30ab + 12ac = 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), '6a'.
6a(-5b + 2c) = 0

Ignore the factor 6.
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 '(-5b + 2c)' equal to zero and attempt to solve:

Simplifying
-5b + 2c = 0

Solving
-5b + 2c = 0

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

Add '5b' to each side of the equation.
-5b + 5b + 2c = 0 + 5b

Combine like terms: -5b + 5b = 0
0 + 2c = 0 + 5b
2c = 0 + 5b
Remove the zero:
2c = 5b

Add '-2c' to each side of the equation.
2c + -2c = 5b + -2c

Combine like terms: 2c + -2c = 0
0 = 5b + -2c

Simplifying
0 = 5b + -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}