(8/(x-2))+(2/(x+8))=(20/(x+8)(x-2))

Simple and best practice solution for (8/(x-2))+(2/(x+8))=(20/(x+8)(x-2)) 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 (8/(x-2))+(2/(x+8))=(20/(x+8)(x-2)) equation: 


D( x )

x-2 = 0

x+8 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:2) U (2:+oo)

8/(x-2)+2/(x+8) = (20/(x+8))*(x-2) // - (20/(x+8))*(x-2)

8/(x-2)+2/(x+8)-((20/(x+8))*(x-2)) = 0

8/(x-2)+2/(x+8)-20*(x-2)*(x+8)^-1 = 0

8/(x-2)+2/(x+8)+(-20*(x-2))/(x+8) = 0

(8*(x+8))/((x-2)*(x+8))+(2*(x-2))/((x-2)*(x+8))+(-20*(x-2)^2)/((x-2)*(x+8)) = 0

8*(x+8)+2*(x-2)-20*(x-2)^2 = 0

10*x-20*x^2+80*x-80+60 = 0

90*x-20*x^2-20 = 0

90*x-20*x^2-20 = 0

10*(9*x-2*x^2-2) = 0

9*x-2*x^2-2 = 0

DELTA = 9^2-(-2*(-2)*4)

DELTA = 65

DELTA > 0

x = (65^(1/2)-9)/(-2*2) or x = (-65^(1/2)-9)/(-2*2)

x = (65^(1/2)-9)/(-4) or x = (65^(1/2)+9)/4

10*(x-((65^(1/2)-9)/(-4)))*(x-((65^(1/2)+9)/4)) = 0

(10*(x-((65^(1/2)-9)/(-4)))*(x-((65^(1/2)+9)/4)))/((x-2)*(x+8)) = 0

(10*(x-((65^(1/2)-9)/(-4)))*(x-((65^(1/2)+9)/4)))/((x-2)*(x+8)) = 0 // * (x-2)*(x+8)

10*(x-((65^(1/2)-9)/(-4)))*(x-((65^(1/2)+9)/4)) = 0

( x-((65^(1/2)+9)/4) )

x-((65^(1/2)+9)/4) = 0 // + (65^(1/2)+9)/4

x = (65^(1/2)+9)/4

( x-((65^(1/2)-9)/(-4)) )

x-((65^(1/2)-9)/(-4)) = 0 // + (65^(1/2)-9)/(-4)

x = (65^(1/2)-9)/(-4)

x in { (65^(1/2)+9)/4, (65^(1/2)-9)/(-4) }

See similar equations:

| 6=x(96) | | 10x^2y^2+x^2y^2-15x^2y^2= | | 26x-6-12x+4=27x-9-13x+17 | | 12432423423-1=12432423423 | | m^2-5m=36 | | x^2+2x-5=10 | | x/4+7=16 | | 3k+21-6k=25-5k+3 | | 3k+21-6k=25+3 | | 7.64=2*3.14 | | 7-9(2x+1)=16 | | 5(t-2)+7t=4(3t+4)-9 | | -2(x-5)=6(x+5)-12 | | -4x=y+8 | | x-40000=x-2546,875 | | 12/m+24=0 | | 6(n-3)=4(n+2) | | 3x-2+x+20+2x=180 | | -(4y+3)-(-3y-4)=-3 | | x+9=6x+19 | | 1/7=a/14 | | 2m^2-7m+6=0 | | -3x+5/4=10 | | 4x-5+7x+2= | | x^2+x+21=21 | | x^2-10x=8 | | 3(a-8)=18 | | iz^2-(4+3i)z+6-4i=0 | | 2x-5=4x+21 | | 3(a-4)/9=2a-12 | | 3x+2y=120 | | s+36=19 |

Equations solver categories