(3x+2)/x=2x+2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

3*x-2*x*x-2*x+2 = 0

3*x-2*x^2-2*x+2 = 0

x-2*x^2+2 = 0

x-2*x^2+2 = 0

x-2*x^2+2 = 0

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

DELTA = 17

DELTA > 0

x = (17^(1/2)-1)/(-2*2) or x = (-17^(1/2)-1)/(-2*2)

x = (17^(1/2)-1)/(-4) or x = (17^(1/2)+1)/4

(x-((17^(1/2)-1)/(-4)))*(x-((17^(1/2)+1)/4)) = 0

((x-((17^(1/2)-1)/(-4)))*(x-((17^(1/2)+1)/4)))/x = 0

((x-((17^(1/2)-1)/(-4)))*(x-((17^(1/2)+1)/4)))/x = 0 // * x

(x-((17^(1/2)-1)/(-4)))*(x-((17^(1/2)+1)/4)) = 0

( x-((17^(1/2)+1)/4) )

x-((17^(1/2)+1)/4) = 0 // + (17^(1/2)+1)/4

x = (17^(1/2)+1)/4

( x-((17^(1/2)-1)/(-4)) )

x-((17^(1/2)-1)/(-4)) = 0 // + (17^(1/2)-1)/(-4)

x = (17^(1/2)-1)/(-4)

x in { (17^(1/2)+1)/4, (17^(1/2)-1)/(-4) }

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