((7x)/(x+6))+((2)/(x-6))

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


D( x )

x-6 = 0

x+6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:6) U (6:+oo)

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

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

7*x*(x-6)+2*(x+6) = 0

7*x^2-40*x+12 = 0

7*x^2-40*x+12 = 0

7*x^2-40*x+12 = 0

DELTA = (-40)^2-(4*7*12)

DELTA = 1264

DELTA > 0

x = (1264^(1/2)+40)/(2*7) or x = (40-1264^(1/2))/(2*7)

x = (4*79^(1/2)+40)/14 or x = (40-4*79^(1/2))/14

(x-((40-4*79^(1/2))/14))*(x-((4*79^(1/2)+40)/14)) = 0

((x-((40-4*79^(1/2))/14))*(x-((4*79^(1/2)+40)/14)))/((x+6)*(x-6)) = 0

((x-((40-4*79^(1/2))/14))*(x-((4*79^(1/2)+40)/14)))/((x+6)*(x-6)) = 0 // * (x+6)*(x-6)

(x-((40-4*79^(1/2))/14))*(x-((4*79^(1/2)+40)/14)) = 0

( x-((4*79^(1/2)+40)/14) )

x-((4*79^(1/2)+40)/14) = 0 // + (4*79^(1/2)+40)/14

x = (4*79^(1/2)+40)/14

( x-((40-4*79^(1/2))/14) )

x-((40-4*79^(1/2))/14) = 0 // + (40-4*79^(1/2))/14

x = (40-4*79^(1/2))/14

x in { (4*79^(1/2)+40)/14, (40-4*79^(1/2))/14 }

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