x^2-a(x+1)-b=0

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

Simplifying
x2 + -1a(x + 1) + -1b = 0

Reorder the terms:
x2 + -1a(1 + x) + -1b = 0
x2 + (1 * -1a + x * -1a) + -1b = 0
x2 + (-1a + -1ax) + -1b = 0

Reorder the terms:
-1a + -1ax + -1b + x2 = 0

Solving
-1a + -1ax + -1b + x2 = 0

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 + -1ax + -1b + b + x2 = 0 + b

Combine like terms: -1b + b = 0
-1a + -1ax + 0 + x2 = 0 + b
-1a + -1ax + x2 = 0 + b
Remove the zero:
-1a + -1ax + x2 = b

Add '-1x2' to each side of the equation.
-1a + -1ax + x2 + -1x2 = b + -1x2

Combine like terms: x2 + -1x2 = 0
-1a + -1ax + 0 = b + -1x2
-1a + -1ax = b + -1x2

Reorder the terms:
-1a + -1ax + -1b + x2 = b + -1b + -1x2 + x2

Combine like terms: b + -1b = 0
-1a + -1ax + -1b + x2 = 0 + -1x2 + x2
-1a + -1ax + -1b + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1a + -1ax + -1b + x2 = 0

The solution to this equation could not be determined.