5=(x-3)/2x

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Solution for 5=(x-3)/2x equation: 


x in (-oo:+oo)

5 = x*((x-3)/2) // - x*((x-3)/2)

5-(x*((x-3)/2)) = 0

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

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

2*5-1*x*(x-3) = 0

3*x-x^2+10 = 0

3*x-x^2+10 = 0

3*x-x^2+10 = 0

DELTA = 3^2-(-1*4*10)

DELTA = 49

DELTA > 0

x = (49^(1/2)-3)/(-1*2) or x = (-49^(1/2)-3)/(-1*2)

x = -2 or x = 5

(x+2)*(x-5) = 0

((x+2)*(x-5))/2 = 0

((x+2)*(x-5))/2 = 0 // * 2

(x+2)*(x-5) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -2, 5 }

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