a(2b+c)=

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


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

Solving
2ab + 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(2b + 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 '(2b + c)' equal to zero and attempt to solve:

Simplifying
2b + c = 0

Solving
2b + c = 0

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

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

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

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

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

Simplifying
0 = -2b + -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}

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