(k-2)*x^2-2kx+3k-1=0

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Solution for (k-2)*x^2-2kx+3k-1=0 equation:


Simplifying
(k + -2) * x2 + -2kx + 3k + -1 = 0

Reorder the terms:
(-2 + k) * x2 + -2kx + 3k + -1 = 0

Reorder the terms for easier multiplication:
x2(-2 + k) + -2kx + 3k + -1 = 0
(-2 * x2 + k * x2) + -2kx + 3k + -1 = 0

Reorder the terms:
(kx2 + -2x2) + -2kx + 3k + -1 = 0
(kx2 + -2x2) + -2kx + 3k + -1 = 0

Reorder the terms:
-1 + 3k + -2kx + kx2 + -2x2 = 0

Solving
-1 + 3k + -2kx + kx2 + -2x2 = 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 + 3k + -2kx + kx2 + 1 + -2x2 = 0 + 1

Reorder the terms:
-1 + 1 + 3k + -2kx + kx2 + -2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3k + -2kx + kx2 + -2x2 = 0 + 1
3k + -2kx + kx2 + -2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3k + -2kx + kx2 + -2x2 = 1

Add '2x2' to each side of the equation.
3k + -2kx + kx2 + -2x2 + 2x2 = 1 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3k + -2kx + kx2 + 0 = 1 + 2x2
3k + -2kx + kx2 = 1 + 2x2

Reorder the terms:
-1 + 3k + -2kx + kx2 + -2x2 = 1 + 2x2 + -1 + -2x2

Reorder the terms:
-1 + 3k + -2kx + kx2 + -2x2 = 1 + -1 + 2x2 + -2x2

Combine like terms: 1 + -1 = 0
-1 + 3k + -2kx + kx2 + -2x2 = 0 + 2x2 + -2x2
-1 + 3k + -2kx + kx2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + 3k + -2kx + kx2 + -2x2 = 0

The solution to this equation could not be determined.

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