=-4a(2b-3c)

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


Simplifying
0 = -4a(2b + -3c)
0 = (2b * -4a + -3c * -4a)
0 = (-8ab + 12ac)

Solving
0 = -8ab + 12ac

Solving for variable 'a'.

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

Add '8ab' to each side of the equation.
0 + 8ab = -8ab + 8ab + 12ac
Remove the zero:
8ab = -8ab + 8ab + 12ac

Combine like terms: -8ab + 8ab = 0
8ab = 0 + 12ac
8ab = 12ac

Add '-12ac' to each side of the equation.
8ab + -12ac = 12ac + -12ac

Combine like terms: 12ac + -12ac = 0
8ab + -12ac = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(2b + -3c) = 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 '(2b + -3c)' equal to zero and attempt to solve:

Simplifying
2b + -3c = 0

Solving
2b + -3c = 0

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

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

Combine like terms: 2b + -2b = 0
0 + -3c = 0 + -2b
-3c = 0 + -2b
Remove the zero:
-3c = -2b

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

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

Simplifying
0 = -2b + 3c

The solution to this equation could not be determined.

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

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