2x^2+4c+1=0

Solution for 2x^2+4c+1=0 equation:

Simplifying
2x2 + 4c + 1 = 0

Reorder the terms:
1 + 4c + 2x2 = 0

Solving
1 + 4c + 2x2 = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + 4c + -1 + 2x2 = 0 + -1

Reorder the terms:
1 + -1 + 4c + 2x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4c + 2x2 = 0 + -1
4c + 2x2 = 0 + -1

Combine like terms: 0 + -1 = -1
4c + 2x2 = -1

Add '-2x2' to each side of the equation.
4c + 2x2 + -2x2 = -1 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4c + 0 = -1 + -2x2
4c = -1 + -2x2

Divide each side by '4'.
c = -0.25 + -0.5x2

Simplifying
c = -0.25 + -0.5x2