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

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

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

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

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

Reorder the terms:
(kx2 + 1x2) + 2kx + k + -1 = 0
(kx2 + 1x2) + 2kx + k + -1 = 0

Reorder the terms:
-1 + k + 2kx + kx2 + 1x2 = 0

Solving
-1 + k + 2kx + kx2 + 1x2 = 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 + 2kx + kx2 + 1 + 1x2 = 0 + 1

Reorder the terms:
-1 + 1 + k + 2kx + kx2 + 1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + k + 2kx + kx2 + 1x2 = 0 + 1
k + 2kx + kx2 + 1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
k + 2kx + kx2 + 1x2 = 1

Add '-1x2' to each side of the equation.
k + 2kx + kx2 + 1x2 + -1x2 = 1 + -1x2

Combine like terms: 1x2 + -1x2 = 0
k + 2kx + kx2 + 0 = 1 + -1x2
k + 2kx + kx2 = 1 + -1x2

Reorder the terms:
-1 + k + 2kx + kx2 + x2 = 1 + -1x2 + -1 + x2

Reorder the terms:
-1 + k + 2kx + kx2 + x2 = 1 + -1 + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + k + 2kx + kx2 + x2 = 0 + -1x2 + x2
-1 + k + 2kx + kx2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + k + 2kx + kx2 + x2 = 0

The solution to this equation could not be determined.