X^2+(2K+1)X+K=0

Solution for X^2+(2K+1)X+K=0 equation:

Simplifying
X2 + (2K + 1) * X + K = 0

Reorder the terms:
X2 + (1 + 2K) * X + K = 0

Reorder the terms for easier multiplication:
X2 + X(1 + 2K) + K = 0
X2 + (1 * X + 2K * X) + K = 0

Reorder the terms:
X2 + (2KX + 1X) + K = 0
X2 + (2KX + 1X) + K = 0

Reorder the terms:
K + 2KX + 1X + X2 = 0

Solving
K + 2KX + 1X + X2 = 0

Solving for variable 'K'.

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

Add '-1X' to each side of the equation.
K + 2KX + 1X + -1X + X2 = 0 + -1X

Combine like terms: 1X + -1X = 0
K + 2KX + 0 + X2 = 0 + -1X
K + 2KX + X2 = 0 + -1X
Remove the zero:
K + 2KX + X2 = -1X

Add '-1X2' to each side of the equation.
K + 2KX + X2 + -1X2 = -1X + -1X2

Combine like terms: X2 + -1X2 = 0
K + 2KX + 0 = -1X + -1X2
K + 2KX = -1X + -1X2

Reorder the terms:
K + 2KX + X + X2 = -1X + X + -1X2 + X2

Combine like terms: -1X + X = 0
K + 2KX + X + X2 = 0 + -1X2 + X2
K + 2KX + X + X2 = -1X2 + X2

Combine like terms: -1X2 + X2 = 0
K + 2KX + X + X2 = 0

The solution to this equation could not be determined.