(5/m)-(3/10)=(3/2m)-(7/4)

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Solution for (5/m)-(3/10)=(3/2m)-(7/4) equation: 


D( m )

m = 0

m = 0

m = 0

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

5/m-(3/10) = (3/2)*m-(7/4) // - (3/2)*m-(7/4)

5/m-((3/2)*m)-(3/10)+7/4 = 0

(-3/2)*m+5/m-3/10+7/4 = 0

5*m^-1-3/2*m^1+29/20*m^0 = 0

(29/20*m^1-3/2*m^2+5*m^0)/(m^1) = 0 // * m^2

m^1*(29/20*m^1-3/2*m^2+5*m^0) = 0

m^1

(-3/2)*m^2+(29/20)*m+5 = 0

(-3/2)*m^2+(29/20)*m+5 = 0

DELTA = (29/20)^2-(4*5*(-3/2))

DELTA = 12841/400

DELTA > 0

m = ((12841/400)^(1/2)-(29/20))/(2*(-3/2)) or m = (-(29/20)-(12841/400)^(1/2))/(2*(-3/2))

m = ((12841/400)^(1/2)-29/20)/(-3) or m = ((12841/400)^(1/2)+29/20)/3

m in { ((12841/400)^(1/2)-29/20)/(-3), ((12841/400)^(1/2)+29/20)/3} 

m in { ((12841/400)^(1/2)-29/20)/(-3), ((12841/400)^(1/2)+29/20)/3 }

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