(2k^3+8k^2+4k)/4k^3

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Solution for (2k^3+8k^2+4k)/4k^3 equation: 


k in (-oo:+oo)

k^3*((2*k^3+8*k^2+4*k)/4) = 0

(k^3*(2*k^3+8*k^2+4*k))/4 = 0

2*k^3+8*k^2+4*k = 0

2*k*(k^2+4*k+2) = 0

k^2+4*k+2 = 0

DELTA = 4^2-(1*2*4)

DELTA = 8

DELTA > 0

k = (8^(1/2)-4)/(1*2) or k = (-8^(1/2)-4)/(1*2)

k = (2*2^(1/2)-4)/2 or k = (-2*2^(1/2)-4)/2

2*k*(k-((-2*2^(1/2)-4)/2))*(k-((2*2^(1/2)-4)/2)) = 0

(2*k*k^3*(k-((-2*2^(1/2)-4)/2))*(k-((2*2^(1/2)-4)/2)))/4 = 0

( 2*k )

2*k = 0 // : 2

k = 0

( k-((-2*2^(1/2)-4)/2) )

k-((-2*2^(1/2)-4)/2) = 0 // + (-2*2^(1/2)-4)/2

k = (-2*2^(1/2)-4)/2

( k-((2*2^(1/2)-4)/2) )

k-((2*2^(1/2)-4)/2) = 0 // + (2*2^(1/2)-4)/2

k = (2*2^(1/2)-4)/2

( k^3 )

1*k^3 = 0 // : 1

k^3 = 0

k = 0

k in { 0, (-2*2^(1/2)-4)/2, (2*2^(1/2)-4)/2, 0 }

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