(12x-10y/3x+27)(6x+4y/10y-12x)

Solution for (12x-10y/3x+27)(6x+4y/10y-12x) equation:

x in (-oo:+oo)

(12*x-(x*((10*y)/3))+27)*(6*x-(12*x)+((4*y)/10)*y) = 0

(12*x+(-10/3)*x*y+27)*(6*x-12*x+((4*y)/10)*y) = 0

(12*x-10/3*x*y+27)*(2/5*y^2-6*x) = 0

12*x-10/3*x*y+27 = 0

27-10/3*x*y = 0 // - 27

-10/3*x*y = -27 // : -10/3*y

x = -27/(-10/3*y)

x = 81/10*y^-1

x-81/10*y^-1 = 0

(x-81/10*y^-1)*(2/5*y^2-6*x) = 0

( 2/5*y^2-6*x )

2/5*y^2-6*x = 0 // - 2/5*y^2

-6*x = -(2/5*y^2) // : -6

x = (-(2/5*y^2))/(-6)

x = 1/15*y^2

( x-81/10*y^-1 )

x-81/10*y^-1 = 0 // + -81/10*y^-1

x = -(-81/10*y^-1)

x = 81/10*y^-1

x in { 1/15*y^2, 81/10*y^-1 }