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

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Solution for ((x-1)/2x)+((x+3)/4x)=5 equation: 


x in (-oo:+oo)

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

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

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

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

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

6*x^2+2*x-40 = 0

6*x^2+2*x-40 = 0

2*(3*x^2+x-20) = 0

3*x^2+x-20 = 0

DELTA = 1^2-(-20*3*4)

DELTA = 241

DELTA > 0

x = (241^(1/2)-1)/(2*3) or x = (-241^(1/2)-1)/(2*3)

x = (241^(1/2)-1)/6 or x = (-(241^(1/2)+1))/6

2*(x+(241^(1/2)+1)/6)*(x-((241^(1/2)-1)/6)) = 0

(2*(x+(241^(1/2)+1)/6)*(x-((241^(1/2)-1)/6)))/(2*4) = 0

(2*(x+(241^(1/2)+1)/6)*(x-((241^(1/2)-1)/6)))/(2*4) = 0 // * 2*4

2*(x+(241^(1/2)+1)/6)*(x-((241^(1/2)-1)/6)) = 0

( x+(241^(1/2)+1)/6 )

x+(241^(1/2)+1)/6 = 0 // - (241^(1/2)+1)/6

x = -((241^(1/2)+1)/6)

( x-((241^(1/2)-1)/6) )

x-((241^(1/2)-1)/6) = 0 // + (241^(1/2)-1)/6

x = (241^(1/2)-1)/6

x in { -((241^(1/2)+1)/6), (241^(1/2)-1)/6 }

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