4k^2+2k=2k+1

Solution for 4k^2+2k=2k+1 equation:

Simplifying
4k2 + 2k = 2k + 1

Reorder the terms:
2k + 4k2 = 2k + 1

Reorder the terms:
2k + 4k2 = 1 + 2k

Add '-2k' to each side of the equation.
2k + -2k + 4k2 = 1 + 2k + -2k

Combine like terms: 2k + -2k = 0
0 + 4k2 = 1 + 2k + -2k
4k2 = 1 + 2k + -2k

Combine like terms: 2k + -2k = 0
4k2 = 1 + 0
4k2 = 1

Solving
4k2 = 1

Solving for variable 'k'.

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

Divide each side by '4'.
k2 = 0.25

Simplifying
k2 = 0.25

Take the square root of each side:
k = {-0.5, 0.5}