x^2(1200/4x-x^2/4x)

Solution for x^2(1200/4x-x^2/4x) equation:

x in (-oo:+oo)

x^2*((1200/4)*x-(x*((x^2)/4))) = 0

x^2*((-1/4)*x^3+(1200/4)*x) = 0

x^2*(300*x-1/4*x^3) = 0

300*x-1/4*x^3 = 0

x*(300-1/4*x^2) = 0

-1/4*x^2 = -300 // : -1/4

x^2 = 1200

x^2 = 1200 // ^ 1/2

abs(x) = 20*3^(1/2)

x = 20*3^(1/2) or x = -(20*3^(1/2))

x*(x-20*3^(1/2))*(x+20*3^(1/2)) = 0

x*x^2*(x-20*3^(1/2))*(x+20*3^(1/2)) = 0

( x+20*3^(1/2) )

x+20*3^(1/2) = 0 // - 20*3^(1/2)

x = -(20*3^(1/2))

x = -20*3^(1/2)

( x-20*3^(1/2) )

x-20*3^(1/2) = 0 // + -20*3^(1/2)

x = -(-20*3^(1/2))

x = 20*3^(1/2)

( x )

x = 0

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -20*3^(1/2), 20*3^(1/2), 0, 0 }