(A+b)Xc=ax(bxc)

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Solution for (A+b)Xc=ax(bxc) equation: 


Simplifying
(A + b) * Xc = ax(bxc)

Reorder the terms for easier multiplication:
cX(A + b) = ax(bxc)
(A * cX + b * cX) = ax(bxc)

Reorder the terms:
(bcX + cAX) = ax(bxc)
(bcX + cAX) = ax(bxc)

Multiply ax * bcx
bcX + cAX = abcx2

Solving
bcX + cAX = abcx2

Solving for variable 'b'.

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

Add '-1abcx2' to each side of the equation.
bcX + -1abcx2 + cAX = abcx2 + -1abcx2

Reorder the terms:
-1abcx2 + bcX + cAX = abcx2 + -1abcx2

Combine like terms: abcx2 + -1abcx2 = 0
-1abcx2 + bcX + cAX = 0

Add '-1cAX' to each side of the equation.
-1abcx2 + bcX + cAX + -1cAX = 0 + -1cAX

Combine like terms: cAX + -1cAX = 0
-1abcx2 + bcX + 0 = 0 + -1cAX
-1abcx2 + bcX = 0 + -1cAX
Remove the zero:
-1abcx2 + bcX = -1cAX

Combine like terms: -1cAX + cAX = 0
-1abcx2 + bcX + cAX = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1abx2 + bX + AX) = 0


Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

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

Simplifying
0 = -1c

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 '(-1abx2 + bX + AX)' equal to zero and attempt to solve:

Simplifying
-1abx2 + bX + AX = 0

Reorder the terms:
AX + -1abx2 + bX = 0

Solving
AX + -1abx2 + bX = 0

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

Add '-1AX' to each side of the equation.
AX + -1abx2 + -1AX + bX = 0 + -1AX

Reorder the terms:
AX + -1AX + -1abx2 + bX = 0 + -1AX

Combine like terms: AX + -1AX = 0
0 + -1abx2 + bX = 0 + -1AX
-1abx2 + bX = 0 + -1AX
Remove the zero:
-1abx2 + bX = -1AX

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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