b(a-b)+b(b+c)=b(a+b)-b(b-c)

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

Simplifying
b(a + -1b) + b(b + c) = b(a + b) + -1b(b + -1c)
(a * b + -1b * b) + b(b + c) = b(a + b) + -1b(b + -1c)
(ab + -1b2) + b(b + c) = b(a + b) + -1b(b + -1c)
ab + -1b2 + (b * b + c * b) = b(a + b) + -1b(b + -1c)

Reorder the terms:
ab + -1b2 + (bc + b2) = b(a + b) + -1b(b + -1c)
ab + -1b2 + (bc + b2) = b(a + b) + -1b(b + -1c)

Reorder the terms:
ab + bc + -1b2 + b2 = b(a + b) + -1b(b + -1c)

Combine like terms: -1b2 + b2 = 0
ab + bc + 0 = b(a + b) + -1b(b + -1c)
ab + bc = b(a + b) + -1b(b + -1c)
ab + bc = (a * b + b * b) + -1b(b + -1c)
ab + bc = (ab + b2) + -1b(b + -1c)
ab + bc = ab + b2 + (b * -1b + -1c * -1b)

Reorder the terms:
ab + bc = ab + b2 + (1bc + -1b2)
ab + bc = ab + b2 + (1bc + -1b2)

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

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

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

Combine like terms: ab + -1ab = 0
0 + bc = ab + -1ab + 1bc
bc = ab + -1ab + 1bc

Combine like terms: ab + -1ab = 0
bc = 0 + 1bc
bc = 1bc

Solving
bc = 1bc

Solving for variable 'b'.

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

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

Combine like terms: bc + -1bc = 0
0 = 1bc + -1bc

Combine like terms: 1bc + -1bc = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.