z^2+2z+k=0

Solution for z^2+2z+k=0 equation:

Simplifying
z2 + 2z + k = 0

Reorder the terms:
k + 2z + z2 = 0

Solving
k + 2z + z2 = 0

Solving for variable 'k'.

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

Add '-2z' to each side of the equation.
k + 2z + -2z + z2 = 0 + -2z

Combine like terms: 2z + -2z = 0
k + 0 + z2 = 0 + -2z
k + z2 = 0 + -2z
Remove the zero:
k + z2 = -2z

Add '-1z2' to each side of the equation.
k + z2 + -1z2 = -2z + -1z2

Combine like terms: z2 + -1z2 = 0
k + 0 = -2z + -1z2
k = -2z + -1z2

Simplifying
k = -2z + -1z2