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

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


Simplifying
kx2 + (2k + -1) * x + (k + -2) = 0

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

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

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

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

Remove parenthesis around (-2 + k)
kx2 + 2kx + -1x + -2 + k = 0

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

Solving
-2 + k + 2kx + kx2 + -1x = 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 + 2kx + kx2 + 2 + -1x = 0 + 2

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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