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

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


Simplifying
Kx2 + (k + 1) * x + -1 = 0

Reorder the terms:
x2K + (1 + k) * x + -1 = 0

Reorder the terms for easier multiplication:
x2K + x(1 + k) + -1 = 0
x2K + (1 * x + k * x) + -1 = 0

Reorder the terms:
x2K + (kx + 1x) + -1 = 0
x2K + (kx + 1x) + -1 = 0

Reorder the terms:
-1 + kx + 1x + x2K = 0

Solving
-1 + kx + 1x + x2K = 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 + kx + 1x + 1 + x2K = 0 + 1

Reorder the terms:
-1 + 1 + kx + 1x + x2K = 0 + 1

Combine like terms: -1 + 1 = 0
0 + kx + 1x + x2K = 0 + 1
kx + 1x + x2K = 0 + 1

Combine like terms: 0 + 1 = 1
kx + 1x + x2K = 1

Add '-1x' to each side of the equation.
kx + 1x + -1x + x2K = 1 + -1x

Combine like terms: 1x + -1x = 0
kx + 0 + x2K = 1 + -1x
kx + x2K = 1 + -1x

Add '-1x2K' to each side of the equation.
kx + x2K + -1x2K = 1 + -1x + -1x2K

Combine like terms: x2K + -1x2K = 0
kx + 0 = 1 + -1x + -1x2K
kx = 1 + -1x + -1x2K

Divide each side by 'x'.
k = x-1 + -1 + -1xK

Simplifying
k = x-1 + -1 + -1xK

Reorder the terms:
k = -1 + x-1 + -1xK

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