3/(x-7)=3/(x^2-5x-14)

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Solution for 3/(x-7)=3/(x^2-5x-14) equation: 


D( x )

x-7 = 0

x^2-(5*x)-14 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x^2-(5*x)-14 = 0

x^2-(5*x)-14 = 0

x^2-5*x-14 = 0

x^2-5*x-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+5)/(1*2) or x = (5-81^(1/2))/(1*2)

x = 7 or x = -2

x in (-oo:-2) U (-2:7) U (7:+oo)

3/(x-7) = 3/(x^2-(5*x)-14) // - 3/(x^2-(5*x)-14)

3/(x-7)-(3/(x^2-(5*x)-14)) = 0

3/(x-7)-3*(x^2-5*x-14)^-1 = 0

3/(x-7)-3/(x^2-5*x-14) = 0

x^2-5*x-14 = 0

x^2-5*x-14 = 0

x^2-5*x-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+5)/(1*2) or x = (5-81^(1/2))/(1*2)

x = 7 or x = -2

(x+2)*(x-7) = 0

3/(x-7)-3/((x+2)*(x-7)) = 0

(3*(x+2))/((x-7)*(x+2))-3/((x-7)*(x+2)) = 0

3*(x+2)-3 = 0

3*x+3 = 0

(3*x+3)/((x-7)*(x+2)) = 0

(3*x+3)/((x-7)*(x+2)) = 0 // * (x-7)*(x+2)

3*x+3 = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x = -1

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