3/x+5+4/x-4=36/(x+5)(x-4)

Simple and best practice solution for 3/x+5+4/x-4=36/(x+5)(x-4) 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 3/x+5+4/x-4=36/(x+5)(x-4) 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)

3/x+4/x-4+5 = (36/(x+5))*(x-4) // - (36/(x+5))*(x-4)

3/x-((36/(x+5))*(x-4))+4/x-4+5 = 0

3/x-36*(x-4)*(x+5)^-1+4/x-4+5 = 0

(-36*(x-4))/(x+5)+3/x+4/x-4+5 = 0

(-36*x*(x-4))/(x*(x+5))+(3*(x+5))/(x*(x+5))+(4*(x+5))/(x*(x+5))+(-4*x*(x+5))/(x*(x+5))+(5*x*(x+5))/(x*(x+5)) = 0

3*(x+5)-36*x*(x-4)+4*(x+5)-4*x*(x+5)+5*x*(x+5) = 0

5*x^2-36*x^2-4*x^2+147*x+4*x-20*x+25*x+15+20 = 0

5*x^2-36*x^2-4*x^2+151*x-20*x+25*x+35 = 0

5*x^2-40*x^2+131*x+25*x+35 = 0

156*x-35*x^2+35 = 0

156*x-35*x^2+35 = 0

156*x-35*x^2+35 = 0

DELTA = 156^2-(-35*4*35)

DELTA = 29236

DELTA > 0

x = (29236^(1/2)-156)/(-35*2) or x = (-29236^(1/2)-156)/(-35*2)

x = (2*7309^(1/2)-156)/(-70) or x = (-2*7309^(1/2)-156)/(-70)

(x-((2*7309^(1/2)-156)/(-70)))*(x-((-2*7309^(1/2)-156)/(-70))) = 0

((x-((2*7309^(1/2)-156)/(-70)))*(x-((-2*7309^(1/2)-156)/(-70))))/(x*(x+5)) = 0

((x-((2*7309^(1/2)-156)/(-70)))*(x-((-2*7309^(1/2)-156)/(-70))))/(x*(x+5)) = 0 // * x*(x+5)

(x-((2*7309^(1/2)-156)/(-70)))*(x-((-2*7309^(1/2)-156)/(-70))) = 0

( x-((-2*7309^(1/2)-156)/(-70)) )

x-((-2*7309^(1/2)-156)/(-70)) = 0 // + (-2*7309^(1/2)-156)/(-70)

x = (-2*7309^(1/2)-156)/(-70)

( x-((2*7309^(1/2)-156)/(-70)) )

x-((2*7309^(1/2)-156)/(-70)) = 0 // + (2*7309^(1/2)-156)/(-70)

x = (2*7309^(1/2)-156)/(-70)

x in { (-2*7309^(1/2)-156)/(-70), (2*7309^(1/2)-156)/(-70) }

See similar equations:

| x^2-10u+8=0 | | 25w^2-36d^2= | | 2/3(-6n) | | 2x/x+3=6-6/x+3 | | 25w^2+40wf+16f^2= | | x+0.1x=25 | | 8x/x+1=4-8/x+1 | | 16m^2-72m+81= | | 8x-5=8+7x | | p-1=5p+3 | | 4x+2y+7= | | 4(t-3)+8t=4(3t+4)-11 | | 6(t+7)-46= | | 3x^2+4x= | | -7x+5+8x=-14+3 | | 256c^2-196= | | 49s^2-144= | | 25x^3-20x^2+10x-8= | | 3-9=-3z | | 2(x+2)-3x=6 | | -(3y+3)-(-2y-7)=4 | | -4x-4x=39-7 | | 10.0x-15.00=95 | | 25s^3+105s^2-100s= | | -4/9x+33=-31 | | 3x+2y+11=0 | | 0.02x-1=-2.48 | | 0.02x-1=2.48 | | 0.04x-1=5.24 | | 8(w-3)=24 | | 8x^3-46x^2+59x-12=0 | | 8a^2-80a+168= |

Equations solver categories