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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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