4a^2c^2-(a^2-b^2+c^2)(a^2-b^2+c^2)=0

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


Simplifying
4a2c2 + -1(a2 + -1b2 + c2)(a2 + -1b2 + c2) = 0

Multiply (a2 + -1b2 + c2) * (a2 + -1b2 + c2)
4a2c2 + -1(a2(a2 + -1b2 + c2) + -1b2 * (a2 + -1b2 + c2) + c2(a2 + -1b2 + c2)) = 0
4a2c2 + -1((a2 * a2 + -1b2 * a2 + c2 * a2) + -1b2 * (a2 + -1b2 + c2) + c2(a2 + -1b2 + c2)) = 0

Reorder the terms:
4a2c2 + -1((-1a2b2 + a2c2 + a4) + -1b2 * (a2 + -1b2 + c2) + c2(a2 + -1b2 + c2)) = 0
4a2c2 + -1((-1a2b2 + a2c2 + a4) + -1b2 * (a2 + -1b2 + c2) + c2(a2 + -1b2 + c2)) = 0
4a2c2 + -1(-1a2b2 + a2c2 + a4 + (a2 * -1b2 + -1b2 * -1b2 + c2 * -1b2) + c2(a2 + -1b2 + c2)) = 0

Reorder the terms:
4a2c2 + -1(-1a2b2 + a2c2 + a4 + (-1a2b2 + -1b2c2 + 1b4) + c2(a2 + -1b2 + c2)) = 0
4a2c2 + -1(-1a2b2 + a2c2 + a4 + (-1a2b2 + -1b2c2 + 1b4) + c2(a2 + -1b2 + c2)) = 0
4a2c2 + -1(-1a2b2 + a2c2 + a4 + -1a2b2 + -1b2c2 + 1b4 + (a2 * c2 + -1b2 * c2 + c2 * c2)) = 0
4a2c2 + -1(-1a2b2 + a2c2 + a4 + -1a2b2 + -1b2c2 + 1b4 + (a2c2 + -1b2c2 + c4)) = 0

Reorder the terms:
4a2c2 + -1(-1a2b2 + -1a2b2 + a2c2 + a2c2 + a4 + -1b2c2 + -1b2c2 + 1b4 + c4) = 0

Combine like terms: -1a2b2 + -1a2b2 = -2a2b2
4a2c2 + -1(-2a2b2 + a2c2 + a2c2 + a4 + -1b2c2 + -1b2c2 + 1b4 + c4) = 0

Combine like terms: a2c2 + a2c2 = 2a2c2
4a2c2 + -1(-2a2b2 + 2a2c2 + a4 + -1b2c2 + -1b2c2 + 1b4 + c4) = 0

Combine like terms: -1b2c2 + -1b2c2 = -2b2c2
4a2c2 + -1(-2a2b2 + 2a2c2 + a4 + -2b2c2 + 1b4 + c4) = 0
4a2c2 + (-2a2b2 * -1 + 2a2c2 * -1 + a4 * -1 + -2b2c2 * -1 + 1b4 * -1 + c4 * -1) = 0
4a2c2 + (2a2b2 + -2a2c2 + -1a4 + 2b2c2 + -1b4 + -1c4) = 0

Reorder the terms:
2a2b2 + 4a2c2 + -2a2c2 + -1a4 + 2b2c2 + -1b4 + -1c4 = 0

Combine like terms: 4a2c2 + -2a2c2 = 2a2c2
2a2b2 + 2a2c2 + -1a4 + 2b2c2 + -1b4 + -1c4 = 0

Solving
2a2b2 + 2a2c2 + -1a4 + 2b2c2 + -1b4 + -1c4 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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