-(5/2x-12)+2=-(7/x-6)

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Solution for -(5/2x-12)+2=-(7/x-6) equation: 


D( x )

x = 0

x = 0

x = 0

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

2-((5/2)*x)+12 = -(7/x-6) // + 7/x-6

7/x-((5/2)*x)-6+2+12 = 0

(-5/2)*x+7/x-6+2+12 = 0

7*x^-1-5/2*x^1+8*x^0 = 0

(8*x^1-5/2*x^2+7*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^1-5/2*x^2+7*x^0) = 0

x^1

(-5/2)*x^2+8*x+7 = 0

(-5/2)*x^2+8*x+7 = 0

DELTA = 8^2-(4*7*(-5/2))

DELTA = 134

DELTA > 0

x = (134^(1/2)-8)/(2*(-5/2)) or x = (-134^(1/2)-8)/(2*(-5/2))

x = (134^(1/2)-8)/(-5) or x = (134^(1/2)+8)/5

x in { (134^(1/2)-8)/(-5), (134^(1/2)+8)/5} 

x in { (134^(1/2)-8)/(-5), (134^(1/2)+8)/5 }

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