6/x+4=12/5x-3

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Solution for 6/x+4=12/5x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x+4 = (12/5)*x-3 // - (12/5)*x-3

6/x-((12/5)*x)+3+4 = 0

(-12/5)*x+6/x+3+4 = 0

6*x^-1-12/5*x^1+7*x^0 = 0

(7*x^1-12/5*x^2+6*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^1-12/5*x^2+6*x^0) = 0

x^1

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

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

DELTA = 7^2-(4*6*(-12/5))

DELTA = 533/5

DELTA > 0

x = ((533/5)^(1/2)-7)/(2*(-12/5)) or x = (-(533/5)^(1/2)-7)/(2*(-12/5))

x = -5/24*((533/5)^(1/2)-7) or x = 5/24*((533/5)^(1/2)+7)

x in { -5/24*((533/5)^(1/2)-7), 5/24*((533/5)^(1/2)+7)} 

x in { -5/24*((533/5)^(1/2)-7), 5/24*((533/5)^(1/2)+7) }

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