ab+ac=dfora

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Solution for ab+ac=dfora equation: 


Simplifying
ab + ac = dfora

Solving
ab + ac = adfor

Solving for variable 'a'.

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

Add '-1adfor' to each side of the equation.
ab + ac + -1adfor = adfor + -1adfor

Combine like terms: adfor + -1adfor = 0
ab + ac + -1adfor = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(b + c + -1dfor) = 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 + -1dfor)' equal to zero and attempt to solve:

Simplifying
b + c + -1dfor = 0

Solving
b + c + -1dfor = 0

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

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

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

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

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

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

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

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

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

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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