1+c^2=-2c

Solution for 1+c^2=-2c equation:

Simplifying
1 + c2 = -2c

Solving
1 + c2 = -2c

Solving for variable 'c'.

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

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

Factor a trinomial.
(1 + c)(1 + c) = 0

Subproblem 1
Set the factor '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

Solving
1 + c = 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 + c = 0 + -1

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

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

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

Simplifying
1 + c = 0

Solving
1 + c = 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 + c = 0 + -1

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

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

Simplifying
c = -1
Solution
c = {-1, -1}