(6x^4-15u^2x^2)/9v^3x^5

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Solution for (6x^4-15u^2x^2)/9v^3x^5 equation: 


x in (-oo:+oo)

v^3*x^5*((6*x^4-(15*u^2*x^2))/9) = 0

v^3*x^5*((6*x^4-15*u^2*x^2)/9) = 0

(v^3*x^5*(6*x^4-15*u^2*x^2))/9 = 0

6*x^4-15*u^2*x^2 = 0

3*x^2*(2*x^2-5*u^2) = 0

2*x^2 = -(-5*u^2) // : 2

x^2 = (5*u^2)/2

x^2 = (5*u^2)/2 // ^ 1/2

abs(x) = (5^(1/2)*u)/(2^(1/2))

x = (5^(1/2)*u)/(2^(1/2)) or x = -((5^(1/2)*u)/(2^(1/2)))

3*x^2*(x-2^(-1/2)*(-5^(1/2))*u)*(((1*5^(1/2))/(2^(1/2)))*u+x) = 0

(3*v^3*x^2*x^5*(x-2^(-1/2)*(-5^(1/2))*u)*(((1*5^(1/2))/(2^(1/2)))*u+x))/9 = 0

( ((1*5^(1/2))/(2^(1/2)))*u+x )

((1*5^(1/2))/(2^(1/2)))*u+x = 0 // - ((1*5^(1/2))/(2^(1/2)))*u

x = -(((1*5^(1/2))/(2^(1/2)))*u)

x = -(2^(-1/2)*5^(1/2)*u)

( 3*x^2 )

3*x^2 = 0 // : 3

x^2 = 0

x = 0

( v^3*x^5 )

v^3*x^5 = 0 // : v^3

x^5 = 0

x = 0

( x-2^(-1/2)*(-5^(1/2))*u )

x-2^(-1/2)*(-5^(1/2))*u = 0 // + -2^(-1/2)*(-5^(1/2))*u

x = -(-2^(-1/2)*(-5^(1/2))*u)

x = -(2^(-1/2)*5^(1/2)*u)

x in { -(2^(-1/2)*5^(1/2)*u), 0, 0, -(2^(-1/2)*5^(1/2)*u) }

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