abx=3abx+xb^2+xa^2+bx^2+ax^2+a^2b+b^2a

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Solution for abx=3abx+xb^2+xa^2+bx^2+ax^2+a^2b+b^2a equation: 


Simplifying
abx = 3abx + xb2 + xa2 + bx2 + ax2 + a2b + b2a

Reorder the terms:
abx = 3abx + ab2 + ax2 + a2b + a2x + bx2 + b2x

Solving
abx = 3abx + ab2 + ax2 + a2b + a2x + bx2 + b2x

Solving for variable 'a'.

Combine like terms: abx + -3abx = -2abx
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 3abx + ab2 + ax2 + a2b + a2x + bx2 + b2x + -3abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x

Reorder the terms:
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 3abx + -3abx + ab2 + -1ab2 + ax2 + -1ax2 + a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x

Combine like terms: 3abx + -3abx = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0 + ab2 + -1ab2 + ax2 + -1ax2 + a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = ab2 + -1ab2 + ax2 + -1ax2 + a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x

Combine like terms: ab2 + -1ab2 = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0 + ax2 + -1ax2 + a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = ax2 + -1ax2 + a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x

Combine like terms: ax2 + -1ax2 = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0 + a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = a2b + -1a2b + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x

Combine like terms: a2b + -1a2b = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0 + a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = a2x + -1a2x + bx2 + -1bx2 + b2x + -1b2x

Combine like terms: a2x + -1a2x = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0 + bx2 + -1bx2 + b2x + -1b2x
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = bx2 + -1bx2 + b2x + -1b2x

Combine like terms: bx2 + -1bx2 = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0 + b2x + -1b2x
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = b2x + -1b2x

Combine like terms: b2x + -1b2x = 0
-2abx + -1ab2 + -1ax2 + -1a2b + -1a2x + -1bx2 + -1b2x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2abx + ab2 + ax2 + a2b + a2x + bx2 + b2x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2abx + ab2 + ax2 + a2b + a2x + bx2 + b2x)' equal to zero and attempt to solve:

Simplifying
2abx + ab2 + ax2 + a2b + a2x + bx2 + b2x = 0

Solving
2abx + ab2 + ax2 + a2b + a2x + bx2 + b2x = 0

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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