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

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


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

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

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

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

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

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

Solving for variable 'k'.

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

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

Combine like terms: -1x2 + x2 = 0
-1k + 2kx + 2kx2 + 0 = 0 + x2
-1k + 2kx + 2kx2 = 0 + x2
Remove the zero:
-1k + 2kx + 2kx2 = x2

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

The solution to this equation could not be determined.

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