b=2bc+2bd

Solution for b=2bc+2bd equation:

Simplifying
b = 2bc + 2bd

Solving
b = 2bc + 2bd

Solving for variable 'b'.

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

Add '-2bc' to each side of the equation.
b + -2bc = 2bc + -2bc + 2bd

Combine like terms: 2bc + -2bc = 0
b + -2bc = 0 + 2bd
b + -2bc = 2bd

Add '-2bd' to each side of the equation.
b + -2bc + -2bd = 2bd + -2bd

Combine like terms: 2bd + -2bd = 0
b + -2bc + -2bd = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + -2c + -2d) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(1 + -2c + -2d)' equal to zero and attempt to solve:

Simplifying
1 + -2c + -2d = 0

Solving
1 + -2c + -2d = 0

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

Add '-1' to each side of the equation.
1 + -2c + -1 + -2d = 0 + -1

Reorder the terms:
1 + -1 + -2c + -2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2c + -2d = 0 + -1
-2c + -2d = 0 + -1

Combine like terms: 0 + -1 = -1
-2c + -2d = -1

Add '2c' to each side of the equation.
-2c + 2c + -2d = -1 + 2c

Combine like terms: -2c + 2c = 0
0 + -2d = -1 + 2c
-2d = -1 + 2c

Add '2d' to each side of the equation.
-2d + 2d = -1 + 2c + 2d

Combine like terms: -2d + 2d = 0
0 = -1 + 2c + 2d

Simplifying
0 = -1 + 2c + 2d

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}