(3x-3x^2)/(x^2+4x-5)*(x^2+x-20)/(3x)

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Solution for (3x-3x^2)/(x^2+4x-5)*(x^2+x-20)/(3x) equation: 


D( x )

3*x = 0

x^2+4*x-5 = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x^2+4*x-5 = 0

x^2+4*x-5 = 0

x^2+4*x-5 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)-4)/(1*2) or x = (-36^(1/2)-4)/(1*2)

x = 1 or x = -5

x in (-oo:-5) U (-5:0) U (0:1) U (1:+oo)

(((3*x-(3*x^2))/(x^2+4*x-5))*(x^2+x-20))/(3*x) = 0

(((3*x-3*x^2)/(x^2+4*x-5))*(x^2+x-20))/(3*x) = 0

((3*x-3*x^2)*(x^2+x-20))/(3*x*(x^2+4*x-5)) = 0

3*x-3*x^2 = 0

3*x*(1-x) = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

3*x*(x-1) = 0

x^2+4*x-5 = 0

x^2+4*x-5 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)-4)/(1*2) or x = (-36^(1/2)-4)/(1*2)

x = 1 or x = -5

(x+5)*(x-1) = 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-1)*(x+5)*(x-4))/((x+5)*(x-1)) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-1 )

x-1 = 0 // + 1

x = 1

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -5} 

x in { 1} 

x = 4

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