(-6/5y-30)+1=(-3/y-6)

Solution for (-6/5y-30)+1=(-3/y-6) equation:

D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

(-6/5)*y-30+1 = -3/y-6 // + -3/y-6

(-6/5)*y-(-3/y)-30+1+6 = 0

(-6/5)*y+3*y^-1-30+1+6 = 0

3*y^-1-6/5*y^1-23*y^0 = 0

(3*y^0-6/5*y^2-23*y^1)/(y^1) = 0 // * y^2

y^1*(3*y^0-6/5*y^2-23*y^1) = 0

y^1

(-6/5)*y^2-23*y+3 = 0

(-6/5)*y^2-23*y+3 = 0

DELTA = (-23)^2-(3*4*(-6/5))

DELTA = 2717/5

DELTA > 0

y = ((2717/5)^(1/2)+23)/(2*(-6/5)) or y = (23-(2717/5)^(1/2))/(2*(-6/5))

y = -5/12*((2717/5)^(1/2)+23) or y = -5/12*(23-(2717/5)^(1/2))

y in { -5/12*((2717/5)^(1/2)+23), -5/12*(23-(2717/5)^(1/2))} 

y in { -5/12*((2717/5)^(1/2)+23), -5/12*(23-(2717/5)^(1/2)) }