-c(d+2c)=cd+2c

Solution for -c(d+2c)=cd+2c equation:

Simplifying
-1c(d + 2c) = cd + 2c

Reorder the terms:
-1c(2c + d) = cd + 2c
(2c * -1c + d * -1c) = cd + 2c

Reorder the terms:
(-1cd + -2c2) = cd + 2c
(-1cd + -2c2) = cd + 2c

Reorder the terms:
-1cd + -2c2 = 2c + cd

Solving
-1cd + -2c2 = 2c + cd

Solving for variable 'c'.

Reorder the terms:
-2c + -1cd + -1cd + -2c2 = 2c + cd + -2c + -1cd

Combine like terms: -1cd + -1cd = -2cd
-2c + -2cd + -2c2 = 2c + cd + -2c + -1cd

Reorder the terms:
-2c + -2cd + -2c2 = 2c + -2c + cd + -1cd

Combine like terms: 2c + -2c = 0
-2c + -2cd + -2c2 = 0 + cd + -1cd
-2c + -2cd + -2c2 = cd + -1cd

Combine like terms: cd + -1cd = 0
-2c + -2cd + -2c2 = 0

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

Ignore the factor -2.
Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

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

Simplifying
1 + d + c = 0

Reorder the terms:
1 + c + d = 0

Solving
1 + c + d = 0

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

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

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

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

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

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

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

Simplifying
c = -1 + -1d
Solution
c = {0, -1 + -1d}