x^2+(k+1)x-2(k+1)=0

Solution for x^2+(k+1)x-2(k+1)=0 equation:

Simplifying
x2 + (k + 1) * x + -2(k + 1) = 0

Reorder the terms:
x2 + (1 + k) * x + -2(k + 1) = 0

Reorder the terms for easier multiplication:
x2 + x(1 + k) + -2(k + 1) = 0
x2 + (1 * x + k * x) + -2(k + 1) = 0

Reorder the terms:
x2 + (kx + 1x) + -2(k + 1) = 0
x2 + (kx + 1x) + -2(k + 1) = 0

Reorder the terms:
x2 + kx + 1x + -2(1 + k) = 0
x2 + kx + 1x + (1 * -2 + k * -2) = 0
x2 + kx + 1x + (-2 + -2k) = 0

Reorder the terms:
-2 + -2k + kx + 1x + x2 = 0

Solving
-2 + -2k + kx + 1x + x2 = 0

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + -2k + kx + 1x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -2k + kx + 1x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -2k + kx + 1x + x2 = 0 + 2
-2k + kx + 1x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-2k + kx + 1x + x2 = 2

Add '-1x' to each side of the equation.
-2k + kx + 1x + -1x + x2 = 2 + -1x

Combine like terms: 1x + -1x = 0
-2k + kx + 0 + x2 = 2 + -1x
-2k + kx + x2 = 2 + -1x

Add '-1x2' to each side of the equation.
-2k + kx + x2 + -1x2 = 2 + -1x + -1x2

Combine like terms: x2 + -1x2 = 0
-2k + kx + 0 = 2 + -1x + -1x2
-2k + kx = 2 + -1x + -1x2

Reorder the terms:
-2 + -2k + kx + x + x2 = 2 + -1x + -1x2 + -2 + x + x2

Reorder the terms:
-2 + -2k + kx + x + x2 = 2 + -2 + -1x + x + -1x2 + x2

Combine like terms: 2 + -2 = 0
-2 + -2k + kx + x + x2 = 0 + -1x + x + -1x2 + x2
-2 + -2k + kx + x + x2 = -1x + x + -1x2 + x2

Combine like terms: -1x + x = 0
-2 + -2k + kx + x + x2 = 0 + -1x2 + x2
-2 + -2k + kx + x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + -2k + kx + x + x2 = 0

The solution to this equation could not be determined.