4/x-2=(-3/x+5)+7/(x+5)(x-2)

Simple and best practice solution for 4/x-2=(-3/x+5)+7/(x+5)(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 4/x-2=(-3/x+5)+7/(x+5)(x-2) equation: 


D( x )

x+5 = 0

x = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x = 0

x = 0

x in (-oo:-5) U (-5:0) U (0:+oo)

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

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

4/x-7*(x-2)*(x+5)^-1+3*x^-1-5-2 = 0

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

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

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

18*x-7*x^2-5*x^2-2*x^2+3*x-25*x-10*x+15+20 = 0

21*x-7*x^2-5*x^2-2*x^2-25*x-10*x+35 = 0

35-12*x^2-2*x^2-4*x-10*x = 0

35-14*x^2-14*x = 0

35-14*x^2-14*x = 0

7*(5-2*x^2-2*x) = 0

5-2*x^2-2*x = 0

DELTA = (-2)^2-(-2*4*5)

DELTA = 44

DELTA > 0

x = (44^(1/2)+2)/(-2*2) or x = (2-44^(1/2))/(-2*2)

x = (2*11^(1/2)+2)/(-4) or x = (2-2*11^(1/2))/(-4)

7*(x-((2*11^(1/2)+2)/(-4)))*(x-((2-2*11^(1/2))/(-4))) = 0

(7*(x-((2*11^(1/2)+2)/(-4)))*(x-((2-2*11^(1/2))/(-4))))/(x*(x+5)) = 0

(7*(x-((2*11^(1/2)+2)/(-4)))*(x-((2-2*11^(1/2))/(-4))))/(x*(x+5)) = 0 // * x*(x+5)

7*(x-((2*11^(1/2)+2)/(-4)))*(x-((2-2*11^(1/2))/(-4))) = 0

( x-((2*11^(1/2)+2)/(-4)) )

x-((2*11^(1/2)+2)/(-4)) = 0 // + (2*11^(1/2)+2)/(-4)

x = (2*11^(1/2)+2)/(-4)

( x-((2-2*11^(1/2))/(-4)) )

x-((2-2*11^(1/2))/(-4)) = 0 // + (2-2*11^(1/2))/(-4)

x = (2-2*11^(1/2))/(-4)

x in { (2*11^(1/2)+2)/(-4), (2-2*11^(1/2))/(-4) }

See similar equations:

| 3+5/9y=-15 | | b+5+17=50 | | 1/2-6/5u=-2/3 | | b/17-8b/17=21/17 | | 20/5+2*6-9 | | 1/5x=121 | | 686.4=0.2x^3/2 | | 9x+3y=-4 | | 11s-1=12s+7 | | 2-4(9n-4)=-4(7n-2)+3 | | 2a^2=16a | | 5-3(2+2w)=7 | | 8n-(3n+4)=36 | | 32=a(a-4) | | 34.04/4.6 | | 2.5c+12=13 | | 7/8=4/8w+6/8w | | a-1367=2500 | | 2*3*14*r=157 | | (3x+9)=-2(2x+6) | | -278=-u+89 | | 4+2(b-10)=4 | | 8w-9.4=7w-6.8 | | x+3x+3x/2+4x-2=169 | | 2x+4-3x=x | | 7/3+(-3/8) | | 6(n-7)=-84 | | (3v-8)=28+9v | | -2(-5a+6b)-9(-2a+4b)= | | 3x^3-x^2-75x-25=0 | | 23-4x=83 | | p+p+m=180 |

Equations solver categories