(8k-2)x^2-(1-2k)x+2-5k=0

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Solution for (8k-2)x^2-(1-2k)x+2-5k=0 equation: 


Simplifying
(8k + -2) * x2 + -1(1 + -2k) * x + 2 + -5k = 0

Reorder the terms:
(-2 + 8k) * x2 + -1(1 + -2k) * x + 2 + -5k = 0

Reorder the terms for easier multiplication:
x2(-2 + 8k) + -1(1 + -2k) * x + 2 + -5k = 0
(-2 * x2 + 8k * x2) + -1(1 + -2k) * x + 2 + -5k = 0

Reorder the terms:
(8kx2 + -2x2) + -1(1 + -2k) * x + 2 + -5k = 0
(8kx2 + -2x2) + -1(1 + -2k) * x + 2 + -5k = 0

Reorder the terms for easier multiplication:
8kx2 + -2x2 + -1x(1 + -2k) + 2 + -5k = 0
8kx2 + -2x2 + (1 * -1x + -2k * -1x) + 2 + -5k = 0

Reorder the terms:
8kx2 + -2x2 + (2kx + -1x) + 2 + -5k = 0
8kx2 + -2x2 + (2kx + -1x) + 2 + -5k = 0

Reorder the terms:
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = 0

Solving
2 + -5k + 2kx + 8kx2 + -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 + -5k + 2kx + 8kx2 + -1x + -2 + -2x2 = 0 + -2

Reorder the terms:
2 + -2 + -5k + 2kx + 8kx2 + -1x + -2x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k + 2kx + 8kx2 + -1x + -2x2 = 0 + -2
-5k + 2kx + 8kx2 + -1x + -2x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-5k + 2kx + 8kx2 + -1x + -2x2 = -2

Add 'x' to each side of the equation.
-5k + 2kx + 8kx2 + -1x + x + -2x2 = -2 + x

Combine like terms: -1x + x = 0
-5k + 2kx + 8kx2 + 0 + -2x2 = -2 + x
-5k + 2kx + 8kx2 + -2x2 = -2 + x

Add '2x2' to each side of the equation.
-5k + 2kx + 8kx2 + -2x2 + 2x2 = -2 + x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-5k + 2kx + 8kx2 + 0 = -2 + x + 2x2
-5k + 2kx + 8kx2 = -2 + x + 2x2

Reorder the terms:
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = -2 + x + 2x2 + 2 + -1x + -2x2

Reorder the terms:
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = -2 + 2 + x + -1x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = 0 + 2x2 + -2x2
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + -5k + 2kx + 8kx2 + -1x + -2x2 = 0

The solution to this equation could not be determined.

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