(k-1)x^2+(2k+4)x+(8k+1)=0

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Solution for (k-1)x^2+(2k+4)x+(8k+1)=0 equation: 


Simplifying
(k + -1) * x2 + (2k + 4) * x + (8k + 1) = 0

Reorder the terms:
(-1 + k) * x2 + (2k + 4) * x + (8k + 1) = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + (2k + 4) * x + (8k + 1) = 0
(-1 * x2 + k * x2) + (2k + 4) * x + (8k + 1) = 0

Reorder the terms:
(kx2 + -1x2) + (2k + 4) * x + (8k + 1) = 0
(kx2 + -1x2) + (2k + 4) * x + (8k + 1) = 0

Reorder the terms:
kx2 + -1x2 + (4 + 2k) * x + (8k + 1) = 0

Reorder the terms for easier multiplication:
kx2 + -1x2 + x(4 + 2k) + (8k + 1) = 0
kx2 + -1x2 + (4 * x + 2k * x) + (8k + 1) = 0

Reorder the terms:
kx2 + -1x2 + (2kx + 4x) + (8k + 1) = 0
kx2 + -1x2 + (2kx + 4x) + (8k + 1) = 0

Reorder the terms:
kx2 + -1x2 + 2kx + 4x + (1 + 8k) = 0

Remove parenthesis around (1 + 8k)
kx2 + -1x2 + 2kx + 4x + 1 + 8k = 0

Reorder the terms:
1 + 8k + 2kx + kx2 + 4x + -1x2 = 0

Solving
1 + 8k + 2kx + kx2 + 4x + -1x2 = 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 + 8k + 2kx + kx2 + 4x + -1 + -1x2 = 0 + -1

Reorder the terms:
1 + -1 + 8k + 2kx + kx2 + 4x + -1x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8k + 2kx + kx2 + 4x + -1x2 = 0 + -1
8k + 2kx + kx2 + 4x + -1x2 = 0 + -1

Combine like terms: 0 + -1 = -1
8k + 2kx + kx2 + 4x + -1x2 = -1

Add '-4x' to each side of the equation.
8k + 2kx + kx2 + 4x + -4x + -1x2 = -1 + -4x

Combine like terms: 4x + -4x = 0
8k + 2kx + kx2 + 0 + -1x2 = -1 + -4x
8k + 2kx + kx2 + -1x2 = -1 + -4x

Add 'x2' to each side of the equation.
8k + 2kx + kx2 + -1x2 + x2 = -1 + -4x + x2

Combine like terms: -1x2 + x2 = 0
8k + 2kx + kx2 + 0 = -1 + -4x + x2
8k + 2kx + kx2 = -1 + -4x + x2

Reorder the terms:
1 + 8k + 2kx + kx2 + 4x + -1x2 = -1 + -4x + x2 + 1 + 4x + -1x2

Reorder the terms:
1 + 8k + 2kx + kx2 + 4x + -1x2 = -1 + 1 + -4x + 4x + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + 8k + 2kx + kx2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
1 + 8k + 2kx + kx2 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
1 + 8k + 2kx + kx2 + 4x + -1x2 = 0 + x2 + -1x2
1 + 8k + 2kx + kx2 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + 8k + 2kx + kx2 + 4x + -1x2 = 0

The solution to this equation could not be determined.

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