(2(x-1)+3x)/x-0.4=x

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Solution for (2(x-1)+3x)/x-0.4=x equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*(x-1)+3*x)/x-0.4 = x // - x

(2*(x-1)+3*x)/x-x-0.4 = 0

(2*(x-1)+3*x)/x+(-x*x)/x+(-0.4*x)/x = 0

2*(x-1)-x*x+3*x-0.4*x = 0

5*x-x^2-0.4*x-2 = 0

4.6*x-x^2-2 = 0

4.6*x-x^2-2 = 0

4.6*x-x^2-2 = 0

DELTA = 4.6^2-(-2*(-1)*4)

DELTA = 4.6^2-8

DELTA = 13.16

DELTA > 0

x = ((4.6^2-8)^(1/2)-4.6)/(-1*2) or x = (-(4.6^2-8)^(1/2)-4.6)/(-1*2)

x = ((4.6^2-8)^(1/2)-4.6)/(-2) or x = ((4.6^2-8)^(1/2)+4.6)/2

(x-(((4.6^2-8)^(1/2)-4.6)/(-2)))*(x-(((4.6^2-8)^(1/2)+4.6)/2)) = 0

((x-(((4.6^2-8)^(1/2)-4.6)/(-2)))*(x-(((4.6^2-8)^(1/2)+4.6)/2)))/x = 0

((x-(((4.6^2-8)^(1/2)-4.6)/(-2)))*(x-(((4.6^2-8)^(1/2)+4.6)/2)))/x = 0 // * x

(x-(((4.6^2-8)^(1/2)-4.6)/(-2)))*(x-(((4.6^2-8)^(1/2)+4.6)/2)) = 0

( x-(((4.6^2-8)^(1/2)+4.6)/2) )

x-(((4.6^2-8)^(1/2)+4.6)/2) = 0 // + ((4.6^2-8)^(1/2)+4.6)/2

x = ((4.6^2-8)^(1/2)+4.6)/2

( x-(((4.6^2-8)^(1/2)-4.6)/(-2)) )

x-(((4.6^2-8)^(1/2)-4.6)/(-2)) = 0 // + ((4.6^2-8)^(1/2)-4.6)/(-2)

x = ((4.6^2-8)^(1/2)-4.6)/(-2)

x in { ((4.6^2-8)^(1/2)+4.6)/2, ((4.6^2-8)^(1/2)-4.6)/(-2) }

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