(3x^2+6x)/(2x^2-8)

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Solution for (3x^2+6x)/(2x^2-8) equation: 


D( x )

2*x^2-8 = 0

2*x^2-8 = 0

2*x^2-8 = 0

2*x^2 = 8 // : 2

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

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

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

3*x^2+6*x = 0

3*x*(x+2) = 0

x+2 = 0 // - 2

x = -2

3*x*(x+2) = 0

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

( 3*x )

3*x = 0 // : 3

x = 0

( x+2 )

x+2 = 0 // - 2

x = -2

x in { -2} 

x = 0

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