c=(c+c)*(c+c)

Solution for c=(c+c)*(c+c) equation:

Simplifying
c = (c + c)(c + c)

Combine like terms: c + c = 2c
c = (2c)(c + c)

Remove parenthesis around (2c)
c = 2c(c + c)

Combine like terms: c + c = 2c
c = 2c(2c)

Remove parenthesis around (2c)
c = 2c * 2c

Reorder the terms for easier multiplication:
c = 2 * 2c * c

Multiply 2 * 2
c = 4c * c

Multiply c * c
c = 4c2

Solving
c = 4c2

Solving for variable 'c'.

Combine like terms: 4c2 + -4c2 = 0
c + -4c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(1 + -4c) = 0

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 + -4c)' equal to zero and attempt to solve:

Simplifying
1 + -4c = 0

Solving
1 + -4c = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4c = 0 + -1
-4c = 0 + -1

Combine like terms: 0 + -1 = -1
-4c = -1

Divide each side by '-4'.
c = 0.25

Simplifying
c = 0.25
Solution
c = {0, 0.25}