a(b+c)=

Solution for a(b+c)= equation:

Simplifying
a(b + c) = 0
(b * a + c * a) = 0
(ab + ac) = 0

Solving
ab + ac = 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(b + c) = 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 '(b + c)' equal to zero and attempt to solve:

Simplifying
b + c = 0

Solving
b + c = 0

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

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

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

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

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

Simplifying
0 = -1b + -1c

The solution to this equation could not be determined.

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