(ab)+(cd)=(a+b)(b+c)

Solution for (ab)+(cd)=(a+b)(b+c) equation:

Simplifying
(ab) + (cd) = (a + b)(b + c)
ab + (cd) = (a + b)(b + c)
ab + cd = (a + b)(b + c)

Multiply (a + b) * (b + c)
ab + cd = (a(b + c) + b(b + c))
ab + cd = ((b * a + c * a) + b(b + c))
ab + cd = ((ab + ac) + b(b + c))
ab + cd = (ab + ac + (b * b + c * b))

Reorder the terms:
ab + cd = (ab + ac + (bc + b2))
ab + cd = (ab + ac + (bc + b2))
ab + cd = (ab + ac + bc + b2)

Add '-1ab' to each side of the equation.
ab + -1ab + cd = ab + ac + bc + -1ab + b2

Combine like terms: ab + -1ab = 0
0 + cd = ab + ac + bc + -1ab + b2
cd = ab + ac + bc + -1ab + b2

Reorder the terms:
cd = ab + -1ab + ac + bc + b2

Combine like terms: ab + -1ab = 0
cd = 0 + ac + bc + b2
cd = ac + bc + b2

Solving
cd = ac + bc + b2

Solving for variable 'c'.

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

Add '-1ac' to each side of the equation.
-1ac + cd = ac + bc + -1ac + b2

Reorder the terms:
-1ac + cd = ac + -1ac + bc + b2

Combine like terms: ac + -1ac = 0
-1ac + cd = 0 + bc + b2
-1ac + cd = bc + b2

Add '-1bc' to each side of the equation.
-1ac + -1bc + cd = bc + -1bc + b2

Combine like terms: bc + -1bc = 0
-1ac + -1bc + cd = 0 + b2
-1ac + -1bc + cd = b2

Reorder the terms:
-1ac + -1bc + -1b2 + cd = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-1ac + -1bc + -1b2 + cd = 0

The solution to this equation could not be determined.