A*x=g*A*x+A

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Solution for A*x=g*A*x+A equation: 


Simplifying
A * x = g * A * x + A

Multiply A * x
xA = g * A * x + A

Multiply g * A
xA = gA * x + A

Multiply gA * x
xA = gxA + A

Reorder the terms:
xA = A + gxA

Solving
xA = A + gxA

Solving for variable 'x'.

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

Add '-1gxA' to each side of the equation.
-1gxA + xA = A + gxA + -1gxA

Combine like terms: gxA + -1gxA = 0
-1gxA + xA = A + 0
-1gxA + xA = A

Reorder the terms:
-1A + -1gxA + xA = A + -1A

Combine like terms: A + -1A = 0
-1A + -1gxA + xA = 0

Factor out the Greatest Common Factor (GCF), 'A'.
A(-1 + -1gx + 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 x to the left, all other terms to the right.

Add '-1A' to each side of the equation.
A + -1A = 0 + -1A
Remove the zero:
0 = -1A

Simplifying
0 = -1A

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + -1gx + x)' equal to zero and attempt to solve:

Simplifying
-1 + -1gx + x = 0

Solving
-1 + -1gx + x = 0

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

Add '1' to each side of the equation.
-1 + -1gx + 1 + x = 0 + 1

Reorder the terms:
-1 + 1 + -1gx + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1gx + x = 0 + 1
-1gx + x = 0 + 1

Combine like terms: 0 + 1 = 1
-1gx + x = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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