(x+p)(x+q)=0

Solution for (x+p)(x+q)=0 equation:

Simplifying
(x + p)(x + q) = 0

Reorder the terms:
(p + x)(x + q) = 0

Reorder the terms:
(p + x)(q + x) = 0

Multiply (p + x) * (q + x)
(p(q + x) + x(q + x)) = 0
((q * p + x * p) + x(q + x)) = 0
((pq + px) + x(q + x)) = 0
(pq + px + (q * x + x * x)) = 0
(pq + px + (qx + x2)) = 0
(pq + px + qx + x2) = 0

Solving
pq + px + qx + x2 = 0

Solving for variable 'p'.

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

Add '-1qx' to each side of the equation.
pq + px + qx + -1qx + x2 = 0 + -1qx

Combine like terms: qx + -1qx = 0
pq + px + 0 + x2 = 0 + -1qx
pq + px + x2 = 0 + -1qx
Remove the zero:
pq + px + x2 = -1qx

Add '-1x2' to each side of the equation.
pq + px + x2 + -1x2 = -1qx + -1x2

Combine like terms: x2 + -1x2 = 0
pq + px + 0 = -1qx + -1x2
pq + px = -1qx + -1x2

Reorder the terms:
pq + px + qx + x2 = -1qx + qx + -1x2 + x2

Combine like terms: -1qx + qx = 0
pq + px + qx + x2 = 0 + -1x2 + x2
pq + px + qx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
pq + px + qx + x2 = 0

The solution to this equation could not be determined.