(y^2-36)/(y^2+6y)

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Solution for (y^2-36)/(y^2+6y) equation: 


D( y )

y^2+6*y = 0

y^2+6*y = 0

y^2+6*y = 0

y^2+6*y = 0

DELTA = 6^2-(0*1*4)

DELTA = 36

DELTA > 0

y = (36^(1/2)-6)/(1*2) or y = (-36^(1/2)-6)/(1*2)

y = 0 or y = -6

y in (-oo:-6) U (-6:0) U (0:+oo)

(y^2-36)/(y^2+6*y) = 0

y^2+6*y = 0

y*(y+6) = 0

y+6 = 0 // - 6

y = -6

y*(y+6) = 0

(y^2-36)/(y*(y+6)) = 0

1*y^2 = 36 // : 1

y^2 = 36

y^2 = 36 // ^ 1/2

abs(y) = 6

y = 6 or y = -6

y in { -6} 

y = 6

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