(a^2-1)b^2-4(a^2-1)=0

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Solution for (a^2-1)b^2-4(a^2-1)=0 equation:


Simplifying
(a2 + -1) * b2 + -4(a2 + -1) = 0

Reorder the terms:
(-1 + a2) * b2 + -4(a2 + -1) = 0

Reorder the terms for easier multiplication:
b2(-1 + a2) + -4(a2 + -1) = 0
(-1 * b2 + a2 * b2) + -4(a2 + -1) = 0

Reorder the terms:
(a2b2 + -1b2) + -4(a2 + -1) = 0
(a2b2 + -1b2) + -4(a2 + -1) = 0

Reorder the terms:
a2b2 + -1b2 + -4(-1 + a2) = 0
a2b2 + -1b2 + (-1 * -4 + a2 * -4) = 0
a2b2 + -1b2 + (4 + -4a2) = 0

Reorder the terms:
4 + -4a2 + a2b2 + -1b2 = 0

Solving
4 + -4a2 + a2b2 + -1b2 = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4a2 + a2b2 + -4 + -1b2 = 0 + -4

Reorder the terms:
4 + -4 + -4a2 + a2b2 + -1b2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4a2 + a2b2 + -1b2 = 0 + -4
-4a2 + a2b2 + -1b2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4a2 + a2b2 + -1b2 = -4

Add 'b2' to each side of the equation.
-4a2 + a2b2 + -1b2 + b2 = -4 + b2

Combine like terms: -1b2 + b2 = 0
-4a2 + a2b2 + 0 = -4 + b2
-4a2 + a2b2 = -4 + b2

Reorder the terms:
4 + -4a2 + a2b2 + -1b2 = -4 + b2 + 4 + -1b2

Reorder the terms:
4 + -4a2 + a2b2 + -1b2 = -4 + 4 + b2 + -1b2

Combine like terms: -4 + 4 = 0
4 + -4a2 + a2b2 + -1b2 = 0 + b2 + -1b2
4 + -4a2 + a2b2 + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
4 + -4a2 + a2b2 + -1b2 = 0

The solution to this equation could not be determined.

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