(1+a)(1+b)=c

Solution for (1+a)(1+b)=c equation:

Simplifying
(1 + a)(1 + b) = c

Multiply (1 + a) * (1 + b)
(1(1 + b) + a(1 + b)) = c
((1 * 1 + b * 1) + a(1 + b)) = c
((1 + 1b) + a(1 + b)) = c
(1 + 1b + (1 * a + b * a)) = c
(1 + 1b + (1a + ab)) = c

Reorder the terms:
(1 + 1a + ab + 1b) = c
(1 + 1a + ab + 1b) = c

Solving
1 + 1a + ab + 1b = c

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 + 1a + ab + -1 + 1b = -1 + c

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.