s^2+2s-1+k=0

Solution for s^2+2s-1+k=0 equation:

Simplifying
s2 + 2s + -1 + k = 0

Reorder the terms:
-1 + k + 2s + s2 = 0

Solving
-1 + k + 2s + s2 = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + k + 2s + 1 + s2 = 0 + 1

Reorder the terms:
-1 + 1 + k + 2s + s2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + k + 2s + s2 = 0 + 1
k + 2s + s2 = 0 + 1

Combine like terms: 0 + 1 = 1
k + 2s + s2 = 1

Add '-2s' to each side of the equation.
k + 2s + -2s + s2 = 1 + -2s

Combine like terms: 2s + -2s = 0
k + 0 + s2 = 1 + -2s
k + s2 = 1 + -2s

Add '-1s2' to each side of the equation.
k + s2 + -1s2 = 1 + -2s + -1s2

Combine like terms: s2 + -1s2 = 0
k + 0 = 1 + -2s + -1s2
k = 1 + -2s + -1s2

Simplifying
k = 1 + -2s + -1s2