(15u^6x^5-5x^2y^2)/10x^3

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Solution for (15u^6x^5-5x^2y^2)/10x^3 equation:


x in (-oo:+oo)

x^3*((15*u^6*x^5-(5*x^2*y^2))/10) = 0

x^3*((15*u^6*x^5-5*x^2*y^2)/10) = 0

(x^3*(15*u^6*x^5-5*x^2*y^2))/10 = 0

15*u^6*x^5-5*x^2*y^2 = 0

5*x^2*(3*u^6*x^3-y^2) = 0

3*u^6*x^3 = y^2 // : 3*u^6

x^3 = (y^2)/(3*u^6)

x^3 = (y^2)/(3*u^6) // ^ 1/3

x = (y^(2/3))/(3^(1/3)*u^2)

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

(5*x^2*x^3*(x-3^(-1/3)*u^-2*y^(2/3)))/10 = 0

( 5*x^2 )

5*x^2 = 0 // : 5

x^2 = 0

x = 0

( x-3^(-1/3)*u^-2*y^(2/3) )

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

x = -(-3^(-1/3)*u^-2*y^(2/3))

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0, -(-3^(-1/3)*u^-2*y^(2/3)), 0 }

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