ab+b+a+1=0

Solution for ab+b+a+1=0 equation:

Simplifying
ab + b + a + 1 = 0

Reorder the terms:
1 + a + ab + b = 0

Solving
1 + a + ab + b = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + a + ab + -1 + b = 0 + -1

Reorder the terms:
1 + -1 + a + ab + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a + ab + b = 0 + -1
a + ab + b = 0 + -1

Combine like terms: 0 + -1 = -1
a + ab + b = -1

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

Combine like terms: b + -1b = 0
a + ab + 0 = -1 + -1b
a + ab = -1 + -1b

Reorder the terms:
1 + a + ab + b = -1 + -1b + 1 + b

Reorder the terms:
1 + a + ab + b = -1 + 1 + -1b + b

Combine like terms: -1 + 1 = 0
1 + a + ab + b = 0 + -1b + b
1 + a + ab + b = -1b + b

Combine like terms: -1b + b = 0
1 + a + ab + b = 0

The solution to this equation could not be determined.