5k2/7(7k3/7+4k6/7)

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Solution for 5k2/7(7k3/7+4k6/7) equation: 


k in (-oo:+oo)

((5*k^2)/7)*((4*k^6)/7+(7*k^3)/7) = 0

5/7*k^2*(4/7*k^6+k^3) = 0

4/7*k^6+k^3 = 0

k^3*(4/7*k^3+1) = 0

4/7*k^3 = -1 // : 4/7

k^3 = -7/4

k^3 = -7/4 // ^ 1/3

k = -(7/4)^(1/3)

k^3*(k+(7/4)^(1/3)) = 0

5/7*k^2*k^3*(k+(7/4)^(1/3)) = 0

( 5/7*k^2 )

5/7*k^2 = 0 // : 5/7

k^2 = 0

k = 0

( k+(7/4)^(1/3) )

k+(7/4)^(1/3) = 0 // - (7/4)^(1/3)

k = -(7/4)^(1/3)

( k^3 )

1*k^3 = 0 // : 1

k^3 = 0

k = 0

k in { 0, -(7/4)^(1/3), 0 }

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