5x/2x+1+8/4x+2=8/3

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Solution for 5x/2x+1+8/4x+2=8/3 equation:


x in (-oo:+oo)

((5*x)/2)*x+(8/4)*x+1+2 = 8/3 // - 8/3

((5*x)/2)*x+(8/4)*x-(8/3)+1+2 = 0

((5*x)/2)*x+(8/4)*x-8/3+1+2 = 0

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

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

DELTA = 2/3

DELTA > 0

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

x = ((2/3)^(1/2)-2)/5 or x = (-((2/3)^(1/2)+2))/5

x in { (-((2/3)^(1/2)+2))/5, ((2/3)^(1/2)-2)/5 }

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