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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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