y=(x+2)/(4x+5)

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Solution for y=(x+2)/(4x+5) equation:


D( x )

4*x+5 = 0

4*x+5 = 0

4*x+5 = 0

4*x+5 = 0 // - 5

4*x = -5 // : 4

x = -5/4

x in (-oo:-5/4) U (-5/4:+oo)

y = (x+2)/(4*x+5) // - (x+2)/(4*x+5)

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

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

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

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

4*x*y-x+5*y-2 = 0

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

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

4*x*y-x+5*y-2 = 0

4*x*y+5*y-2 = 0 // - 5*y-2

4*x*y = -(5*y-2) // : 4*y

x = (-(5*y-2))/(4*y)

x = (2-(5*y))/(4*y)

x = (2-(5*y))/(4*y)

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