(x^2-1)/(15x^2)*(5x)/(x^2-5x-6)

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Solution for (x^2-1)/(15x^2)*(5x)/(x^2-5x-6) equation:


D( x )

15*x^2 = 0

x^2-(5*x)-6 = 0

15*x^2 = 0

15*x^2 = 0

15*x^2 = 0 // : 15

x^2 = 0

x = 0

x^2-(5*x)-6 = 0

x^2-(5*x)-6 = 0

x^2-5*x-6 = 0

x^2-5*x-6 = 0

DELTA = (-5)^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(1*2) or x = (5-49^(1/2))/(1*2)

x = 6 or x = -1

x in (-oo:-1) U (-1:0) U (0:6) U (6:+oo)

(5*x*((x^2-1)/(15*x^2)))/(x^2-(5*x)-6) = 0

(5*x*((x^2-1)/(15*x^2)))/(x^2-5*x-6) = 0

(5*x*(x^2-1))/(15*x^2*(x^2-5*x-6)) = 0

x^2-5*x-6 = 0

x^2-5*x-6 = 0

DELTA = (-5)^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(1*2) or x = (5-49^(1/2))/(1*2)

x = 6 or x = -1

(x+1)*(x-6) = 0

(5*x*(x^2-1))/(15*x^2*(x+1)*(x-6)) = 0

( 5*x )

5*x = 0 // : 5

x = 0

( x^2-1 )

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 0}

x in { -1}

x = 1

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