((2y+1)(y-6)/3)-((5)(y-6)/1)=(1/3)(y-6)

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Solution for ((2y+1)(y-6)/3)-((5)(y-6)/1)=(1/3)(y-6) equation: 


y in (-oo:+oo)

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

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

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

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

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

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

2*y^2-26*y-y+6+84 = 0

2*y^2-27*y+90 = 0

2*y^2-27*y+90 = 0

2*y^2-27*y+90 = 0

DELTA = (-27)^2-(2*4*90)

DELTA = 9

DELTA > 0

y = (9^(1/2)+27)/(2*2) or y = (27-9^(1/2))/(2*2)

y = 15/2 or y = 6

(y-6)*(y-15/2) = 0

((y-6)*(y-15/2))/3 = 0

((y-6)*(y-15/2))/3 = 0 // * 3

(y-6)*(y-15/2) = 0

( y-15/2 )

y-15/2 = 0 // + 15/2

y = 15/2

( y-6 )

y-6 = 0 // + 6

y = 6

y in { 15/2, 6 }

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