(x^2+x-6)/(x^2+x-2)*((x-1)/(4x-8))

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Solution for (x^2+x-6)/(x^2+x-2)*((x-1)/(4x-8)) equation: 


D( x )

4*x-8 = 0

x^2+x-2 = 0

4*x-8 = 0

4*x-8 = 0

4*x-8 = 0 // + 8

4*x = 8 // : 4

x = 8/4

x = 2

x^2+x-2 = 0

x^2+x-2 = 0

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)

x = 1 or x = -2

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

((x^2+x-6)/(x^2+x-2))*((x-1)/(4*x-8)) = 0

((x^2+x-6)*(x-1))/((x^2+x-2)*(4*x-8)) = 0

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

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

x^2+x-2 = 0

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)

x = 1 or x = -2

(x+2)*(x-1) = 0

((x+3)*(x-2))/((x+2)*(4*x-8)) = 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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