a^2x^2+abx+abx+b^2-b^2x^2-abx-abx-a^2=0

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Solution for a^2x^2+abx+abx+b^2-b^2x^2-abx-abx-a^2=0 equation:


Simplifying
a2x2 + abx + abx + b2 + -1b2x2 + -1abx + -1abx + -1a2 = 0

Reorder the terms:
abx + abx + -1abx + -1abx + -1a2 + a2x2 + b2 + -1b2x2 = 0

Combine like terms: abx + abx = 2abx
2abx + -1abx + -1abx + -1a2 + a2x2 + b2 + -1b2x2 = 0

Combine like terms: 2abx + -1abx = 1abx
1abx + -1abx + -1a2 + a2x2 + b2 + -1b2x2 = 0

Combine like terms: 1abx + -1abx = 0
0 + -1a2 + a2x2 + b2 + -1b2x2 = 0
-1a2 + a2x2 + b2 + -1b2x2 = 0

Solving
-1a2 + a2x2 + b2 + -1b2x2 = 0

Solving for variable 'a'.

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

Add '-1b2' to each side of the equation.
-1a2 + a2x2 + b2 + -1b2 + -1b2x2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
-1a2 + a2x2 + 0 + -1b2x2 = 0 + -1b2
-1a2 + a2x2 + -1b2x2 = 0 + -1b2
Remove the zero:
-1a2 + a2x2 + -1b2x2 = -1b2

Add 'b2x2' to each side of the equation.
-1a2 + a2x2 + -1b2x2 + b2x2 = -1b2 + b2x2

Combine like terms: -1b2x2 + b2x2 = 0
-1a2 + a2x2 + 0 = -1b2 + b2x2
-1a2 + a2x2 = -1b2 + b2x2

Reorder the terms:
-1a2 + a2x2 + b2 + -1b2x2 = -1b2 + b2 + b2x2 + -1b2x2

Combine like terms: -1b2 + b2 = 0
-1a2 + a2x2 + b2 + -1b2x2 = 0 + b2x2 + -1b2x2
-1a2 + a2x2 + b2 + -1b2x2 = b2x2 + -1b2x2

Combine like terms: b2x2 + -1b2x2 = 0
-1a2 + a2x2 + b2 + -1b2x2 = 0

The solution to this equation could not be determined.

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