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

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


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

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

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

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

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

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

Solving for variable 'k'.

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

Add 'x' to each side of the equation.
kx + -1x + x2K + x + -1y = 0 + x

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

Combine like terms: -1x + x = 0
kx + 0 + x2K + -1y = 0 + x
kx + x2K + -1y = 0 + x
Remove the zero:
kx + x2K + -1y = x

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

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

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

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

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

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

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

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