(x^2-9)/(2x+3)*((2y+8)/6y-24)

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Solution for (x^2-9)/(2x+3)*((2y+8)/6y-24) equation: 


D( x )

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x in (-oo:-3/2) U (-3/2:+oo)

((x^2-9)/(2*x+3))*(y*((2*y+8)/6)-24) = 0

((x^2-9)*((y*(2*y+8))/6-24))/(2*x+3) = 0

(y*(2*y+8))/6-24 = 0

(y*(2*y+8))/6+(-24*6)/6 = 0

y*(2*y+8)-24*6 = 0

2*y^2+8*y-144 = 0

(2*y^2+8*y-144)/6 = 0

(2*y^2+8*y-144)/6 = 0 // * 6

2*y^2+8*y-144 = 0

((x^2-9)*(2*y^2+8*y-144))/(2*x+3) = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 3, -3 }

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