3/(x+2)=(x-8)/13

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Solution for 3/(x+2)=(x-8)/13 equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

3/(x+2) = (x-8)/13 // - (x-8)/13

3/(x+2)-((x-8)/13) = 0

3/(x+2)+(-1*(x-8))/13 = 0

(3*13)/(13*(x+2))+(-1*(x-8)*(x+2))/(13*(x+2)) = 0

3*13-1*(x-8)*(x+2) = 0

6*x-x^2+55 = 0

6*x-x^2+55 = 0

6*x-x^2+55 = 0

DELTA = 6^2-(-1*4*55)

DELTA = 256

DELTA > 0

x = (256^(1/2)-6)/(-1*2) or x = (-256^(1/2)-6)/(-1*2)

x = -5 or x = 11

(x+5)*(x-11) = 0

((x+5)*(x-11))/(13*(x+2)) = 0

((x+5)*(x-11))/(13*(x+2)) = 0 // * 13*(x+2)

(x+5)*(x-11) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-11 )

x-11 = 0 // + 11

x = 11

x in { -5, 11 }

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