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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