8a(6b+12c-4d)=

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Solution for 8a(6b+12c-4d)= equation: 


Simplifying
8a(6b + 12c + -4d) = 0
(6b * 8a + 12c * 8a + -4d * 8a) = 0
(48ab + 96ac + -32ad) = 0

Solving
48ab + 96ac + -32ad = 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), '16a'.
16a(3b + 6c + -2d) = 0

Ignore the factor 16.

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 '(3b + 6c + -2d)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

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

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

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

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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