a(x+c)=2ad+cfora

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Solution for a(x+c)=2ad+cfora equation: 


Simplifying
a(x + c) = 2ad + cfora

Reorder the terms:
a(c + x) = 2ad + cfora
(c * a + x * a) = 2ad + cfora
(ac + ax) = 2ad + cfora

Reorder the terms:
ac + ax = acfor + 2ad

Solving
ac + ax = acfor + 2ad

Solving for variable 'a'.

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

Add '-1acfor' to each side of the equation.
ac + -1acfor + ax = acfor + -1acfor + 2ad

Combine like terms: acfor + -1acfor = 0
ac + -1acfor + ax = 0 + 2ad
ac + -1acfor + ax = 2ad

Add '-2ad' to each side of the equation.
ac + -1acfor + -2ad + ax = 2ad + -2ad

Combine like terms: 2ad + -2ad = 0
ac + -1acfor + -2ad + ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(c + -1cfor + -2d + x) = 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 '(c + -1cfor + -2d + x)' equal to zero and attempt to solve:

Simplifying
c + -1cfor + -2d + x = 0

Solving
c + -1cfor + -2d + x = 0

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

Add '-1c' to each side of the equation.
c + -1cfor + -2d + -1c + x = 0 + -1c

Reorder the terms:
c + -1c + -1cfor + -2d + x = 0 + -1c

Combine like terms: c + -1c = 0
0 + -1cfor + -2d + x = 0 + -1c
-1cfor + -2d + x = 0 + -1c
Remove the zero:
-1cfor + -2d + x = -1c

Add 'cfor' to each side of the equation.
-1cfor + -2d + cfor + x = -1c + cfor

Reorder the terms:
-1cfor + cfor + -2d + x = -1c + cfor

Combine like terms: -1cfor + cfor = 0
0 + -2d + x = -1c + cfor
-2d + x = -1c + cfor

Add '2d' to each side of the equation.
-2d + 2d + x = -1c + cfor + 2d

Combine like terms: -2d + 2d = 0
0 + x = -1c + cfor + 2d
x = -1c + cfor + 2d

Add '-1x' to each side of the equation.
x + -1x = -1c + cfor + 2d + -1x

Combine like terms: x + -1x = 0
0 = -1c + cfor + 2d + -1x

Simplifying
0 = -1c + cfor + 2d + -1x

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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