3a+3ab+3ac+3ad=0

Solution for 3a+3ab+3ac+3ad=0 equation:

Simplifying
3a + 3ab + 3ac + 3ad = 0

Solving
3a + 3ab + 3ac + 3ad = 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(1 + b + c + d) = 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 '(1 + b + c + d)' equal to zero and attempt to solve:

Simplifying
1 + b + c + d = 0

Solving
1 + b + c + d = 0

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

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

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

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

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

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

Reorder the terms:
b + -1b + c + d = -1 + -1b

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

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

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

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

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

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

The solution to this equation could not be determined.

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