x+ky+1=0

Solution for x+ky+1=0 equation:

Simplifying
x + ky + 1 = 0

Reorder the terms:
1 + ky + x = 0

Solving
1 + ky + x = 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 + ky + -1 + x = 0 + -1

Reorder the terms:
1 + -1 + ky + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + ky + x = 0 + -1
ky + x = 0 + -1

Combine like terms: 0 + -1 = -1
ky + x = -1

Add '-1x' to each side of the equation.
ky + x + -1x = -1 + -1x

Combine like terms: x + -1x = 0
ky + 0 = -1 + -1x
ky = -1 + -1x

Divide each side by 'y'.
k = -1y-1 + -1xy-1

Simplifying
k = -1y-1 + -1xy-1

Reorder the terms:
k = -1xy-1 + -1y-1