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

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


D( x )

2-x = 0

2-x = 0

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

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

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

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

2*(x^2+x-6) = 0

x^2+x-6 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-1)/(1*2) or x = (-25^(1/2)-1)/(1*2)

x = 2 or x = -3

2*(x+3)*(x-2) = 0

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = -3

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