-4ab+6ac-12ad=0

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Solution for -4ab+6ac-12ad=0 equation: 


Simplifying
-4ab + 6ac + -12ad = 0

Solving
-4ab + 6ac + -12ad = 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), '2a'.
2a(-2b + 3c + -6d) = 0

Ignore the factor 2.

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 + -6d)' equal to zero and attempt to solve:

Simplifying
-2b + 3c + -6d = 0

Solving
-2b + 3c + -6d = 0

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

Add '2b' to each side of the equation.
-2b + 3c + 2b + -6d = 0 + 2b

Reorder the terms:
-2b + 2b + 3c + -6d = 0 + 2b

Combine like terms: -2b + 2b = 0
0 + 3c + -6d = 0 + 2b
3c + -6d = 0 + 2b
Remove the zero:
3c + -6d = 2b

Add '-3c' to each side of the equation.
3c + -3c + -6d = 2b + -3c

Combine like terms: 3c + -3c = 0
0 + -6d = 2b + -3c
-6d = 2b + -3c

Add '6d' to each side of the equation.
-6d + 6d = 2b + -3c + 6d

Combine like terms: -6d + 6d = 0
0 = 2b + -3c + 6d

Simplifying
0 = 2b + -3c + 6d

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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