(k+1)x^2+(k+8)x+10=0

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Solution for (k+1)x^2+(k+8)x+10=0 equation: 


Simplifying
(k + 1) * x2 + (k + 8) * x + 10 = 0

Reorder the terms:
(1 + k) * x2 + (k + 8) * x + 10 = 0

Reorder the terms for easier multiplication:
x2(1 + k) + (k + 8) * x + 10 = 0
(1 * x2 + k * x2) + (k + 8) * x + 10 = 0

Reorder the terms:
(kx2 + 1x2) + (k + 8) * x + 10 = 0
(kx2 + 1x2) + (k + 8) * x + 10 = 0

Reorder the terms:
kx2 + 1x2 + (8 + k) * x + 10 = 0

Reorder the terms for easier multiplication:
kx2 + 1x2 + x(8 + k) + 10 = 0
kx2 + 1x2 + (8 * x + k * x) + 10 = 0

Reorder the terms:
kx2 + 1x2 + (kx + 8x) + 10 = 0
kx2 + 1x2 + (kx + 8x) + 10 = 0

Reorder the terms:
10 + kx + kx2 + 8x + 1x2 = 0

Solving
10 + kx + kx2 + 8x + 1x2 = 0

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + kx + kx2 + 8x + -10 + 1x2 = 0 + -10

Reorder the terms:
10 + -10 + kx + kx2 + 8x + 1x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + kx + kx2 + 8x + 1x2 = 0 + -10
kx + kx2 + 8x + 1x2 = 0 + -10

Combine like terms: 0 + -10 = -10
kx + kx2 + 8x + 1x2 = -10

Add '-8x' to each side of the equation.
kx + kx2 + 8x + -8x + 1x2 = -10 + -8x

Combine like terms: 8x + -8x = 0
kx + kx2 + 0 + 1x2 = -10 + -8x
kx + kx2 + 1x2 = -10 + -8x

Add '-1x2' to each side of the equation.
kx + kx2 + 1x2 + -1x2 = -10 + -8x + -1x2

Combine like terms: 1x2 + -1x2 = 0
kx + kx2 + 0 = -10 + -8x + -1x2
kx + kx2 = -10 + -8x + -1x2

Reorder the terms:
10 + kx + kx2 + 8x + x2 = -10 + -8x + -1x2 + 10 + 8x + x2

Reorder the terms:
10 + kx + kx2 + 8x + x2 = -10 + 10 + -8x + 8x + -1x2 + x2

Combine like terms: -10 + 10 = 0
10 + kx + kx2 + 8x + x2 = 0 + -8x + 8x + -1x2 + x2
10 + kx + kx2 + 8x + x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
10 + kx + kx2 + 8x + x2 = 0 + -1x2 + x2
10 + kx + kx2 + 8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + kx + kx2 + 8x + x2 = 0

The solution to this equation could not be determined.

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