4/(x+3)-5/(4)=7/(5x+15)

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Solution for 4/(x+3)-5/(4)=7/(5x+15) equation: 


D( x )

5*x+15 = 0

x+3 = 0

5*x+15 = 0

5*x+15 = 0

5*x+15 = 0 // - 15

5*x = -15 // : 5

x = -15/5

x = -3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:+oo)

4/(x+3)-(5/4) = 7/(5*x+15) // - 7/(5*x+15)

4/(x+3)-(7/(5*x+15))-(5/4) = 0

4/(x+3)-7*(5*x+15)^-1-5/4 = 0

4/(x+3)-7/(5*x+15)-5/4 = 0

(4^2*(5*x+15))/(4*(x+3)*(5*x+15))+(-7*4*(x+3))/(4*(x+3)*(5*x+15))+(-5*(x+3)*(5*x+15))/(4*(x+3)*(5*x+15)) = 0

4^2*(5*x+15)-7*4*(x+3)-5*(x+3)*(5*x+15) = 0

52*x-25*x^2-150*x-225+156 = 0

-25*x^2-98*x-69 = 0

-25*x^2-98*x-69 = 0

-1*(25*x^2+98*x+69) = 0

25*x^2+98*x+69 = 0

DELTA = 98^2-(4*25*69)

DELTA = 2704

DELTA > 0

x = (2704^(1/2)-98)/(2*25) or x = (-2704^(1/2)-98)/(2*25)

x = -23/25 or x = -3

-1*(x+3)*(x+23/25) = 0

(-1*(x+3)*(x+23/25))/(4*(x+3)*(5*x+15)) = 0

(-1*(x+3)*(x+23/25))/(4*(x+3)*(5*x+15)) = 0 // * 4*(x+3)*(5*x+15)

-1*(x+3)*(x+23/25) = 0

( x+23/25 )

x+23/25 = 0 // - 23/25

x = -23/25

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -3} 

x = -23/25

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