(6x^6-21x^4)/3x^3

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Solution for (6x^6-21x^4)/3x^3 equation:


x in (-oo:+oo)

x^3*((6*x^6-(21*x^4))/3) = 0

x^3*((6*x^6-21*x^4)/3) = 0

(x^3*(6*x^6-21*x^4))/3 = 0

6*x^6-21*x^4 = 0

3*x^4*(2*x^2-7) = 0

2*x^2 = 7 // : 2

x^2 = 7/2

x^2 = 7/2 // ^ 1/2

abs(x) = (7/2)^(1/2)

x = (7/2)^(1/2) or x = -(7/2)^(1/2)

3*x^4*(x-(7/2)^(1/2))*(x+(7/2)^(1/2)) = 0

(3*x^3*x^4*(x-(7/2)^(1/2))*(x+(7/2)^(1/2)))/3 = 0

( 3*x^4 )

3*x^4 = 0 // : 3

x^4 = 0

x = 0

( x+(7/2)^(1/2) )

x+(7/2)^(1/2) = 0 // - (7/2)^(1/2)

x = -(7/2)^(1/2)

( x-(7/2)^(1/2) )

x-(7/2)^(1/2) = 0 // + (7/2)^(1/2)

x = (7/2)^(1/2)

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0, -(7/2)^(1/2), (7/2)^(1/2), 0 }

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