c^2=2c-1

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

Simplifying
c2 = 2c + -1

Reorder the terms:
c2 = -1 + 2c

Solving
c2 = -1 + 2c

Solving for variable 'c'.

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

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

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

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

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

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

Simplifying
1 + -1c = 0

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

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

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

Divide each side by '-1'.
c = 1

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

Simplifying
1 + -1c = 0

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

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

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

Divide each side by '-1'.
c = 1

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