(2x^2+2x-12)/x-2

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

2*x^2+2*x-2*x-12 = 0

2*x^2-12 = 0

(2*x^2-12)/x = 0

(2*x^2-12)/x = 0 // * x

2*x^2-12 = 0

2*x^2 = 12 // : 2

x^2 = 6

x^2 = 6 // ^ 1/2

abs(x) = 6^(1/2)

x = 6^(1/2) or x = -6^(1/2)

x in { 6^(1/2), -6^(1/2) }

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