at^2+bt^2-a-b=1

Solution for at^2+bt^2-a-b=1 equation:

Simplifying
at2 + bt2 + -1a + -1b = 1

Reorder the terms:
-1a + at2 + -1b + bt2 = 1

Solving
-1a + at2 + -1b + bt2 = 1

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
-1a + at2 + -1b + b + bt2 = 1 + b

Combine like terms: -1b + b = 0
-1a + at2 + 0 + bt2 = 1 + b
-1a + at2 + bt2 = 1 + b

Add '-1bt2' to each side of the equation.
-1a + at2 + bt2 + -1bt2 = 1 + b + -1bt2

Combine like terms: bt2 + -1bt2 = 0
-1a + at2 + 0 = 1 + b + -1bt2
-1a + at2 = 1 + b + -1bt2

Reorder the terms:
-1 + -1a + at2 + -1b + bt2 = 1 + b + -1bt2 + -1 + -1b + bt2

Reorder the terms:
-1 + -1a + at2 + -1b + bt2 = 1 + -1 + b + -1b + -1bt2 + bt2

Combine like terms: 1 + -1 = 0
-1 + -1a + at2 + -1b + bt2 = 0 + b + -1b + -1bt2 + bt2
-1 + -1a + at2 + -1b + bt2 = b + -1b + -1bt2 + bt2

Combine like terms: b + -1b = 0
-1 + -1a + at2 + -1b + bt2 = 0 + -1bt2 + bt2
-1 + -1a + at2 + -1b + bt2 = -1bt2 + bt2

Combine like terms: -1bt2 + bt2 = 0
-1 + -1a + at2 + -1b + bt2 = 0

The solution to this equation could not be determined.