(160-2y)/3*y=1000

Solution for (160-2y)/3*y=1000 equation:

y in (-oo:+oo)

y*((160-(2*y))/3) = 1000 // - 1000

y*((160-(2*y))/3)-1000 = 0

y*((160-2*y)/3)-1000 = 0

(y*(160-2*y))/3-1000 = 0

(y*(160-2*y))/3+(-1000*3)/3 = 0

y*(160-2*y)-1000*3 = 0

160*y-2*y^2-3000 = 0

160*y-2*y^2-3000 = 0

2*(80*y-y^2-1500) = 0

80*y-y^2-1500 = 0

DELTA = 80^2-(-1500*(-1)*4)

DELTA = 400

DELTA > 0

y = (400^(1/2)-80)/(-1*2) or y = (-400^(1/2)-80)/(-1*2)

y = 30 or y = 50

2*(y-30)*(y-50) = 0

(2*(y-30)*(y-50))/3 = 0

(2*(y-30)*(y-50))/3 = 0 // * 3

2*(y-30)*(y-50) = 0

( 2 )

2 = 0

y belongs to the empty set

( y-30 )

y-30 = 0 // + 30

y = 30

( y-50 )

y-50 = 0 // + 50

y = 50

y in { 30, 50 }