(x^3+8x^2)/(6x^2-12)

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Solution for (x^3+8x^2)/(6x^2-12) equation: 


D( x )

6*x^2-12 = 0

6*x^2-12 = 0

6*x^2-12 = 0

6*x^2 = 12 // : 6

x^2 = 2

x^2 = 2 // ^ 1/2

abs(x) = 2^(1/2)

x = 2^(1/2) or x = -2^(1/2)

x in (-oo:-2^(1/2)) U (-2^(1/2):2^(1/2)) U (2^(1/2):+oo)

(x^3+8*x^2)/(6*x^2-12) = 0

x^3+8*x^2 = 0

x^2*(x+8) = 0

x+8 = 0 // - 8

x = -8

x^2*(x+8) = 0

(x^2*(x+8))/(6*x^2-12) = 0

( x+8 )

x+8 = 0 // - 8

x = -8

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -8, 0 }

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