((x^2-25)/(x^2+x-20))*((x^2+7x+12)/(x^2-5x))

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Solution for ((x^2-25)/(x^2+x-20))*((x^2+7x+12)/(x^2-5x)) equation: 


D( x )

x^2+x-20 = 0

x^2-(5*x) = 0

x^2+x-20 = 0

x^2+x-20 = 0

x^2+x-20 = 0

DELTA = 1^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-1)/(1*2) or x = (-81^(1/2)-1)/(1*2)

x = 4 or x = -5

x^2-(5*x) = 0

x^2-(5*x) = 0

x^2-5*x = 0

x^2-5*x = 0

DELTA = (-5)^2-(0*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+5)/(1*2) or x = (5-25^(1/2))/(1*2)

x = 5 or x = 0

x in (-oo:-5) U (-5:0) U (0:4) U (4:5) U (5:+oo)

((x^2-25)/(x^2+x-20))*((x^2+7*x+12)/(x^2-(5*x))) = 0

((x^2-25)/(x^2+x-20))*((x^2+7*x+12)/(x^2-5*x)) = 0

((x^2-25)*(x^2+7*x+12))/((x^2+x-20)*(x^2-5*x)) = 0

x^2+x-20 = 0

x^2+x-20 = 0

DELTA = 1^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-1)/(1*2) or x = (-81^(1/2)-1)/(1*2)

x = 4 or x = -5

(x+5)*(x-4) = 0

x^2+7*x+12 = 0

x^2+7*x+12 = 0

DELTA = 7^2-(1*4*12)

DELTA = 1

DELTA > 0

x = (1^(1/2)-7)/(1*2) or x = (-1^(1/2)-7)/(1*2)

x = -3 or x = -4

(x+4)*(x+3) = 0

x^2-5*x = 0

x*(x-5) = 0

x-5 = 0 // + 5

x = 5

x*(x-5) = 0

((x^2-25)*(x+4)*(x+3))/(x*(x+5)*(x-4)*(x-5)) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x+4 )

x+4 = 0 // - 4

x = -4

( x^2-25 )

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in { 5} 

x in { -5} 

x in { -3, -4 }

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