(6/5x-15)+1=-(8/x-3)

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Solution for (6/5x-15)+1=-(8/x-3) equation: 


D( x )

x = 0

x = 0

x = 0

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

(6/5)*x-15+1 = -(8/x-3) // + 8/x-3

(6/5)*x+8/x-15-3+1 = 0

6/5*x^1+8*x^-1-17*x^0 = 0

(6/5*x^2-17*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(6/5*x^2-17*x^1+8*x^0) = 0

x^1

(6/5)*x^2-17*x+8 = 0

(6/5)*x^2-17*x+8 = 0

DELTA = (-17)^2-(4*8*(6/5))

DELTA = 1253/5

DELTA > 0

x = ((1253/5)^(1/2)+17)/(2*(6/5)) or x = (17-(1253/5)^(1/2))/(2*(6/5))

x = 5/12*((1253/5)^(1/2)+17) or x = 5/12*(17-(1253/5)^(1/2))

x in { 5/12*(17-(1253/5)^(1/2)), 5/12*((1253/5)^(1/2)+17)} 

x in { 5/12*(17-(1253/5)^(1/2)), 5/12*((1253/5)^(1/2)+17) }

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