(a+b)(c+d)=0

Solution for (a+b)(c+d)=0 equation:

Simplifying
(a + b)(c + d) = 0

Multiply (a + b) * (c + d)
(a(c + d) + b(c + d)) = 0
((c * a + d * a) + b(c + d)) = 0
((ac + ad) + b(c + d)) = 0
(ac + ad + (c * b + d * b)) = 0
(ac + ad + (bc + bd)) = 0
(ac + ad + bc + bd) = 0

Solving
ac + ad + bc + bd = 0

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
ac + ad + bc + -1bc + bd = 0 + -1bc

Combine like terms: bc + -1bc = 0
ac + ad + 0 + bd = 0 + -1bc
ac + ad + bd = 0 + -1bc
Remove the zero:
ac + ad + bd = -1bc

Add '-1bd' to each side of the equation.
ac + ad + bd + -1bd = -1bc + -1bd

Combine like terms: bd + -1bd = 0
ac + ad + 0 = -1bc + -1bd
ac + ad = -1bc + -1bd

Reorder the terms:
ac + ad + bc + bd = -1bc + bc + -1bd + bd

Combine like terms: -1bc + bc = 0
ac + ad + bc + bd = 0 + -1bd + bd
ac + ad + bc + bd = -1bd + bd

Combine like terms: -1bd + bd = 0
ac + ad + bc + bd = 0

The solution to this equation could not be determined.