(x+2)/2x-(x+1)/4=-1/2

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Solution for (x+2)/2x-(x+1)/4=-1/2 equation: 


x in (-oo:+oo)

x*((x+2)/2)-((x+1)/4) = -1/2 // + -1/2

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

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

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

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

4*x*(x+2)-1*2*(x+1)+1*4 = 0

4*x^2+6*x-2+4 = 0

4*x^2+6*x+2 = 0

4*x^2+6*x+2 = 0

2*(2*x^2+3*x+1) = 0

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

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

DELTA = 1

DELTA > 0

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

x = -1/2 or x = -1

2*(x+1)*(x+1/2) = 0

(2*(x+1)*(x+1/2))/(2*4) = 0

(2*(x+1)*(x+1/2))/(2*4) = 0 // * 2*4

2*(x+1)*(x+1/2) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x+1 )

x+1 = 0 // - 1

x = -1

x in { -1/2, -1 }

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