((6x+24)/(x^2-x-12))=((-6x+36)/(x^2-x-12))

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Solution for ((6x+24)/(x^2-x-12))=((-6x+36)/(x^2-x-12)) equation: 


D( x )

x^2-x-12 = 0

x^2-x-12 = 0

x^2-x-12 = 0

x^2-x-12 = 0

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

DELTA = 49

DELTA > 0

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

x = 4 or x = -3

x in (-oo:-3) U (-3:4) U (4:+oo)

(6*x+24)/(x^2-x-12) = (36-6*x)/(x^2-x-12) // - (36-6*x)/(x^2-x-12)

(6*x+24)/(x^2-x-12)-((36-6*x)/(x^2-x-12)) = 0

(6*x+24)/(x^2-x-12)+(-1*(36-6*x))/(x^2-x-12) = 0

x^2-x-12 = 0

x^2-x-12 = 0

x^2-x-12 = 0

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

DELTA = 49

DELTA > 0

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

x = 4 or x = -3

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

(6*x+24)/((x+3)*(x-4))+(-1*(36-6*x))/((x+3)*(x-4)) = 0

6*x-1*(36-6*x)+24 = 0

12*x-12 = 0

(12*x-12)/((x+3)*(x-4)) = 0

(12*x-12)/((x+3)*(x-4)) = 0 // * (x+3)*(x-4)

12*x-12 = 0

12*x-12 = 0 // + 12

12*x = 12 // : 12

x = 12/12

x = 1

x = 1

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