2x/(x+8)=3/(x+5)

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Solution for 2x/(x+8)=3/(x+5) equation: 


D( x )

x+5 = 0

x+8 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:-5) U (-5:+oo)

(2*x)/(x+8) = 3/(x+5) // - 3/(x+5)

(2*x)/(x+8)-(3/(x+5)) = 0

(2*x)/(x+8)-3*(x+5)^-1 = 0

(2*x)/(x+8)-3/(x+5) = 0

(2*x*(x+5))/((x+8)*(x+5))+(-3*(x+8))/((x+8)*(x+5)) = 0

2*x*(x+5)-3*(x+8) = 0

2*x^2+7*x-24 = 0

2*x^2+7*x-24 = 0

2*x^2+7*x-24 = 0

DELTA = 7^2-(-24*2*4)

DELTA = 241

DELTA > 0

x = (241^(1/2)-7)/(2*2) or x = (-241^(1/2)-7)/(2*2)

x = (241^(1/2)-7)/4 or x = (-(241^(1/2)+7))/4

(x+(241^(1/2)+7)/4)*(x-((241^(1/2)-7)/4)) = 0

((x+(241^(1/2)+7)/4)*(x-((241^(1/2)-7)/4)))/((x+8)*(x+5)) = 0

((x+(241^(1/2)+7)/4)*(x-((241^(1/2)-7)/4)))/((x+8)*(x+5)) = 0 // * (x+8)*(x+5)

(x+(241^(1/2)+7)/4)*(x-((241^(1/2)-7)/4)) = 0

( x+(241^(1/2)+7)/4 )

x+(241^(1/2)+7)/4 = 0 // - (241^(1/2)+7)/4

x = -((241^(1/2)+7)/4)

( x-((241^(1/2)-7)/4) )

x-((241^(1/2)-7)/4) = 0 // + (241^(1/2)-7)/4

x = (241^(1/2)-7)/4

x in { -((241^(1/2)+7)/4), (241^(1/2)-7)/4 }

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