a(2+b(2+c))=

Solution for a(2+b(2+c))= equation:

Simplifying
a(2 + b(2 + c)) = 0
a(2 + (2 * b + c * b)) = 0
a(2 + (2b + bc)) = 0
(2 * a + 2b * a + bc * a) = 0
(2a + 2ab + abc) = 0

Solving
2a + 2ab + abc = 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), 'a'.
a(2 + 2b + bc) = 0

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 '(2 + 2b + bc)' equal to zero and attempt to solve:

Simplifying
2 + 2b + bc = 0

Solving
2 + 2b + bc = 0

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

Add '-2' to each side of the equation.
2 + 2b + -2 + bc = 0 + -2

Reorder the terms:
2 + -2 + 2b + bc = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2b + bc = 0 + -2
2b + bc = 0 + -2

Combine like terms: 0 + -2 = -2
2b + bc = -2

Add '-2b' to each side of the equation.
2b + -2b + bc = -2 + -2b

Combine like terms: 2b + -2b = 0
0 + bc = -2 + -2b
bc = -2 + -2b

Add '-1bc' to each side of the equation.
bc + -1bc = -2 + -2b + -1bc

Combine like terms: bc + -1bc = 0
0 = -2 + -2b + -1bc

Simplifying
0 = -2 + -2b + -1bc

The solution to this equation could not be determined.

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