3ab-12ac+24ad=0

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Solution for 3ab-12ac+24ad=0 equation: 


Simplifying
3ab + -12ac + 24ad = 0

Solving
3ab + -12ac + 24ad = 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), '3a'.
3a(b + -4c + 8d) = 0

Ignore the factor 3.

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 '(b + -4c + 8d)' equal to zero and attempt to solve:

Simplifying
b + -4c + 8d = 0

Solving
b + -4c + 8d = 0

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

Add '-1b' to each side of the equation.
b + -4c + -1b + 8d = 0 + -1b

Reorder the terms:
b + -1b + -4c + 8d = 0 + -1b

Combine like terms: b + -1b = 0
0 + -4c + 8d = 0 + -1b
-4c + 8d = 0 + -1b
Remove the zero:
-4c + 8d = -1b

Add '4c' to each side of the equation.
-4c + 4c + 8d = -1b + 4c

Combine like terms: -4c + 4c = 0
0 + 8d = -1b + 4c
8d = -1b + 4c

Add '-8d' to each side of the equation.
8d + -8d = -1b + 4c + -8d

Combine like terms: 8d + -8d = 0
0 = -1b + 4c + -8d

Simplifying
0 = -1b + 4c + -8d

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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