(k-1)x^2-(k-2)x+4=0

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Solution for (k-1)x^2-(k-2)x+4=0 equation: 


Simplifying
(k + -1) * x2 + -1(k + -2) * x + 4 = 0

Reorder the terms:
(-1 + k) * x2 + -1(k + -2) * x + 4 = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + -1(k + -2) * x + 4 = 0
(-1 * x2 + k * x2) + -1(k + -2) * x + 4 = 0

Reorder the terms:
(kx2 + -1x2) + -1(k + -2) * x + 4 = 0
(kx2 + -1x2) + -1(k + -2) * x + 4 = 0

Reorder the terms:
kx2 + -1x2 + -1(-2 + k) * x + 4 = 0

Reorder the terms for easier multiplication:
kx2 + -1x2 + -1x(-2 + k) + 4 = 0
kx2 + -1x2 + (-2 * -1x + k * -1x) + 4 = 0

Reorder the terms:
kx2 + -1x2 + (-1kx + 2x) + 4 = 0
kx2 + -1x2 + (-1kx + 2x) + 4 = 0

Reorder the terms:
4 + -1kx + kx2 + 2x + -1x2 = 0

Solving
4 + -1kx + kx2 + 2x + -1x2 = 0

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -1kx + kx2 + 2x + -4 + -1x2 = 0 + -4

Reorder the terms:
4 + -4 + -1kx + kx2 + 2x + -1x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1kx + kx2 + 2x + -1x2 = 0 + -4
-1kx + kx2 + 2x + -1x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1kx + kx2 + 2x + -1x2 = -4

Add '-2x' to each side of the equation.
-1kx + kx2 + 2x + -2x + -1x2 = -4 + -2x

Combine like terms: 2x + -2x = 0
-1kx + kx2 + 0 + -1x2 = -4 + -2x
-1kx + kx2 + -1x2 = -4 + -2x

Add 'x2' to each side of the equation.
-1kx + kx2 + -1x2 + x2 = -4 + -2x + x2

Combine like terms: -1x2 + x2 = 0
-1kx + kx2 + 0 = -4 + -2x + x2
-1kx + kx2 = -4 + -2x + x2

Reorder the terms:
4 + -1kx + kx2 + 2x + -1x2 = -4 + -2x + x2 + 4 + 2x + -1x2

Reorder the terms:
4 + -1kx + kx2 + 2x + -1x2 = -4 + 4 + -2x + 2x + x2 + -1x2

Combine like terms: -4 + 4 = 0
4 + -1kx + kx2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
4 + -1kx + kx2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
4 + -1kx + kx2 + 2x + -1x2 = 0 + x2 + -1x2
4 + -1kx + kx2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -1kx + kx2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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