60/2x=30/(x+5)

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Solution for 60/2x=30/(x+5) equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:+oo)

(60/2)*x = 30/(x+5) // - 30/(x+5)

(60/2)*x-(30/(x+5)) = 0

(60/2)*x-30*(x+5)^-1 = 0

30*x-30/(x+5) = 0

(30*x*(x+5))/(x+5)-30/(x+5) = 0

30*x*(x+5)-30 = 0

30*x^2+150*x-30 = 0

30*x^2+150*x-30 = 0

30*(x^2+5*x-1) = 0

x^2+5*x-1 = 0

DELTA = 5^2-(-1*1*4)

DELTA = 29

DELTA > 0

x = (29^(1/2)-5)/(1*2) or x = (-29^(1/2)-5)/(1*2)

x = (29^(1/2)-5)/2 or x = (-(29^(1/2)+5))/2

30*(x+(29^(1/2)+5)/2)*(x-((29^(1/2)-5)/2)) = 0

(30*(x+(29^(1/2)+5)/2)*(x-((29^(1/2)-5)/2)))/(x+5) = 0

(30*(x+(29^(1/2)+5)/2)*(x-((29^(1/2)-5)/2)))/(x+5) = 0 // * x+5

30*(x+(29^(1/2)+5)/2)*(x-((29^(1/2)-5)/2)) = 0

( x+(29^(1/2)+5)/2 )

x+(29^(1/2)+5)/2 = 0 // - (29^(1/2)+5)/2

x = -((29^(1/2)+5)/2)

( x-((29^(1/2)-5)/2) )

x-((29^(1/2)-5)/2) = 0 // + (29^(1/2)-5)/2

x = (29^(1/2)-5)/2

x in { -((29^(1/2)+5)/2), (29^(1/2)-5)/2 }

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