Find all Solutions y sqrt3y 10 2Solutiony sqrt3y 10 2

Find all Solutions: y + sqrt(3y + 10) = -2

Solution

y + sqrt(3y + 10) = -2

sqrt(3y + 10) = -2 -y

square both sides: (3y +10) = (-2-y)^2

3y +10 = 4 +y^2 +4y

y^2 +y -6 =0

y^2 +3y -2y -6 =0

y(y +3) -2(y +3) =0

(y-2)(y+3) =0

y = 2 , -3