((x^2)-5x-6)/((x^2)-36)=0

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Solution for ((x^2)-5x-6)/((x^2)-36)=0 equation: 


D( x )

x^2-36 = 0

x^2-36 = 0

x^2-36 = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

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

(x^2-(5*x)-6)/(x^2-36) = 0

(x^2-5*x-6)/(x^2-36) = 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

((x+1)*(x-6))/(x^2-36) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 6} 

x = -1

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