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

Simple and best practice solution for (1)/(x-3)+(1)/(x+5)=(3)/(5) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


D( x )

x+5 = 0

x-3 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:-5) U (-5:3) U (3:+oo)

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

1/(x-3)+1/(x+5)-(3/5) = 0

1/(x-3)+1/(x+5)-3/5 = 0

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

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

10*x-3*x^2-6*x+10+45 = 0

4*x-3*x^2+55 = 0

4*x-3*x^2+55 = 0

4*x-3*x^2+55 = 0

DELTA = 4^2-(-3*4*55)

DELTA = 676

DELTA > 0

x = (676^(1/2)-4)/(-3*2) or x = (-676^(1/2)-4)/(-3*2)

x = -11/3 or x = 5

(x+11/3)*(x-5) = 0

((x+11/3)*(x-5))/(5*(x-3)*(x+5)) = 0

((x+11/3)*(x-5))/(5*(x-3)*(x+5)) = 0 // * 5*(x-3)*(x+5)

(x+11/3)*(x-5) = 0

( x+11/3 )

x+11/3 = 0 // - 11/3

x = -11/3

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -11/3, 5 }

See similar equations:

| (1)/(x+8)=3 | | (1)/(x)=(4)/(3x)+1 | | (1)/(t)+(1)/(2t)+(1)/(3t)=5 | | (1)/(7)(x+3)=2x-4(4-x)-7 | | (1)/(7)(21y+21)-7=-(1)/(5)(5y-20) | | (1)/(4)x=20 | | y=5/9(x-32) | | -5.7-5x-5.9-x=-5x-6.3 | | y=5/9(F-32) | | (1)/(3)+(2)/(3)=(2)/(3)m-(2)/(3) | | (1)/(3)(x-9)=3x-2(x-1)+(5)/(3) | | 7x+2x+50=140 | | 27,3/0,7 | | (1)/(3)(5x+3)-(1)/(4)(x+5)=4 | | (1)/(3)(21-3a)=6-1 | | x^2-3-10=0 | | (1)/(2x)+(6x-9)/(3x)=(2)/(x) | | (1)/(2)x+7=9 | | (1)/(2)a=7 | | (1)/(2)-(3m)/(4)+7=4m-9-(m)/(28) | | (1)/(2)+4n=3n-(3)/(2) | | (1)/(2)+(3)/(8)y=(5)/(12)+(5)/(8)y | | (1)/(2)(6x-10)+x=15 | | (9x^2)-5x-3=0 | | (-x^2)-12x-36=0 | | (1)/(2)(3x+2)-(1)/(5)(x+6)=5 | | (1)/(15)+(1)/(5x)=(2)/(3x) | | (1)/(0.03-x)=0 | | -32a-1=-30a | | (0.84-x)/(0.96+x)=0.203 | | (0.8-2x)/(0.2+x)=2.5 | | (0.6x+19)/x=0.2x |

Equations solver categories