ABX=A-X(A^2+B^2)-B(AX-1)

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Solution for ABX=A-X(A^2+B^2)-B(AX-1) equation: 


Simplifying
ABX = A + -1X(A2 + B2) + -1B(AX + -1)
ABX = A + (A2 * -1X + B2 * -1X) + -1B(AX + -1)
ABX = A + (-1A2X + -1B2X) + -1B(AX + -1)

Reorder the terms:
ABX = A + -1A2X + -1B2X + -1B(-1 + AX)
ABX = A + -1A2X + -1B2X + (-1 * -1B + AX * -1B)

Reorder the terms:
ABX = A + -1A2X + -1B2X + (-1ABX + 1B)
ABX = A + -1A2X + -1B2X + (-1ABX + 1B)

Reorder the terms:
ABX = A + -1ABX + -1A2X + 1B + -1B2X

Solving
ABX = A + -1ABX + -1A2X + 1B + -1B2X

Solving for variable 'A'.

Reorder the terms:
-1A + ABX + ABX + A2X + -1B + B2X = A + -1ABX + -1A2X + 1B + -1B2X + -1A + ABX + A2X + -1B + B2X

Combine like terms: ABX + ABX = 2ABX
-1A + 2ABX + A2X + -1B + B2X = A + -1ABX + -1A2X + 1B + -1B2X + -1A + ABX + A2X + -1B + B2X

Reorder the terms:
-1A + 2ABX + A2X + -1B + B2X = A + -1A + -1ABX + ABX + -1A2X + A2X + 1B + -1B + -1B2X + B2X

Combine like terms: A + -1A = 0
-1A + 2ABX + A2X + -1B + B2X = 0 + -1ABX + ABX + -1A2X + A2X + 1B + -1B + -1B2X + B2X
-1A + 2ABX + A2X + -1B + B2X = -1ABX + ABX + -1A2X + A2X + 1B + -1B + -1B2X + B2X

Combine like terms: -1ABX + ABX = 0
-1A + 2ABX + A2X + -1B + B2X = 0 + -1A2X + A2X + 1B + -1B + -1B2X + B2X
-1A + 2ABX + A2X + -1B + B2X = -1A2X + A2X + 1B + -1B + -1B2X + B2X

Combine like terms: -1A2X + A2X = 0
-1A + 2ABX + A2X + -1B + B2X = 0 + 1B + -1B + -1B2X + B2X
-1A + 2ABX + A2X + -1B + B2X = 1B + -1B + -1B2X + B2X

Combine like terms: 1B + -1B = 0
-1A + 2ABX + A2X + -1B + B2X = 0 + -1B2X + B2X
-1A + 2ABX + A2X + -1B + B2X = -1B2X + B2X

Combine like terms: -1B2X + B2X = 0
-1A + 2ABX + A2X + -1B + B2X = 0

The solution to this equation could not be determined.

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