a^2-b^2=1000

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Solution for a^2-b^2=1000 equation: 


Simplifying
a2 + -1b2 = 1000

Solving
a2 + -1b2 = 1000

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
a2 + -1b2 + b2 = 1000 + b2

Combine like terms: -1b2 + b2 = 0
a2 + 0 = 1000 + b2
a2 = 1000 + b2

Simplifying
a2 = 1000 + b2

Reorder the terms:
-1000 + a2 + -1b2 = 1000 + b2 + -1000 + -1b2

Reorder the terms:
-1000 + a2 + -1b2 = 1000 + -1000 + b2 + -1b2

Combine like terms: 1000 + -1000 = 0
-1000 + a2 + -1b2 = 0 + b2 + -1b2
-1000 + a2 + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-1000 + a2 + -1b2 = 0

The solution to this equation could not be determined.

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