(x+a)(x+b)=0

Solution for (x+a)(x+b)=0 equation:

Simplifying
(x + a)(x + b) = 0

Reorder the terms:
(a + x)(x + b) = 0

Reorder the terms:
(a + x)(b + x) = 0

Multiply (a + x) * (b + x)
(a(b + x) + x(b + x)) = 0
((b * a + x * a) + x(b + x)) = 0
((ab + ax) + x(b + x)) = 0
(ab + ax + (b * x + x * x)) = 0
(ab + ax + (bx + x2)) = 0
(ab + ax + bx + x2) = 0

Solving
ab + ax + bx + x2 = 0

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ab + ax + bx + -1bx + x2 = 0 + -1bx

Combine like terms: bx + -1bx = 0
ab + ax + 0 + x2 = 0 + -1bx
ab + ax + x2 = 0 + -1bx
Remove the zero:
ab + ax + x2 = -1bx

Add '-1x2' to each side of the equation.
ab + ax + x2 + -1x2 = -1bx + -1x2

Combine like terms: x2 + -1x2 = 0
ab + ax + 0 = -1bx + -1x2
ab + ax = -1bx + -1x2

Reorder the terms:
ab + ax + bx + x2 = -1bx + bx + -1x2 + x2

Combine like terms: -1bx + bx = 0
ab + ax + bx + x2 = 0 + -1x2 + x2
ab + ax + bx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
ab + ax + bx + x2 = 0

The solution to this equation could not be determined.