(x/3)=(12x/5x-1)

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Solution for (x/3)=(12x/5x-1) equation:


x in (-oo:+oo)

x/3 = ((12*x)/5)*x-1 // - ((12*x)/5)*x-1

x/3-(((12*x)/5)*x)+1 = 0

(-12/5)*x^2+x/3+1 = 0

1/3*x-12/5*x^2+1 = 0

DELTA = (1/3)^2-(-12/5*1*4)

DELTA = 437/45

DELTA > 0

x = ((437/45)^(1/2)-1/3)/(-12/5*2) or x = (-(437/45)^(1/2)-1/3)/(-12/5*2)

x = -5/24*((437/45)^(1/2)-1/3) or x = 5/24*((437/45)^(1/2)+1/3)

x in { -5/24*((437/45)^(1/2)-1/3), 5/24*((437/45)^(1/2)+1/3) }

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