4C^2-8C+2=-1

Solution for 4C^2-8C+2=-1 equation:

Simplifying
4C2 + -8C + 2 = -1

Reorder the terms:
2 + -8C + 4C2 = -1

Solving
2 + -8C + 4C2 = -1

Solving for variable 'C'.

Reorder the terms:
2 + 1 + -8C + 4C2 = -1 + 1

Combine like terms: 2 + 1 = 3
3 + -8C + 4C2 = -1 + 1

Combine like terms: -1 + 1 = 0
3 + -8C + 4C2 = 0

Factor a trinomial.
(1 + -2C)(3 + -2C) = 0

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

Simplifying
1 + -2C = 0

Solving
1 + -2C = 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 + -2C = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2C = 0 + -1
-2C = 0 + -1

Combine like terms: 0 + -1 = -1
-2C = -1

Divide each side by '-2'.
C = 0.5

Simplifying
C = 0.5
Subproblem 2
Set the factor '(3 + -2C)' equal to zero and attempt to solve:

Simplifying
3 + -2C = 0

Solving
3 + -2C = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2C = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2C = 0 + -3
-2C = 0 + -3

Combine like terms: 0 + -3 = -3
-2C = -3

Divide each side by '-2'.
C = 1.5

Simplifying
C = 1.5
Solution
C = {0.5, 1.5}