((4x)/(x^2-36))-(5/(x+6))

Simple and best practice solution for ((4x)/(x^2-36))-(5/(x+6)) 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 ((4x)/(x^2-36))-(5/(x+6)) equation: 


D( x )

x^2-36 = 0

x+6 = 0

x^2-36 = 0

x^2-36 = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:6) U (6:+oo)

(4*x)/(x^2-36)-(5/(x+6)) = 0

(4*x)/(x^2-36)-5*(x+6)^-1 = 0

(4*x)/(x^2-36)-5/(x+6) = 0

(4*x*(x+6))/((x^2-36)*(x+6))+(-5*(x^2-36))/((x^2-36)*(x+6)) = 0

4*x*(x+6)-5*(x^2-36) = 0

24*x-x^2+180 = 0

24*x-x^2+180 = 0

24*x-x^2+180 = 0

DELTA = 24^2-(-1*4*180)

DELTA = 1296

DELTA > 0

x = (1296^(1/2)-24)/(-1*2) or x = (-1296^(1/2)-24)/(-1*2)

x = -6 or x = 30

(x+6)*(x-30) = 0

((x+6)*(x-30))/((x^2-36)*(x+6)) = 0

((x+6)*(x-30))/((x^2-36)*(x+6)) = 0 // * (x^2-36)*(x+6)

(x+6)*(x-30) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-30 )

x-30 = 0 // + 30

x = 30

x in { -6} 

x = 30

See similar equations:

| 25=1.50x-5 | | 7(-6)= | | 6x^2+3=19x | | -0.6x+0.8x-8=9 | | -2*1+4y=-8 | | 6k+7.5=k+12 | | 6x^2+3=19 | | 7.1x+13=76.9 | | -2*0+4y=-8 | | 7*0-3y=-21 | | 7-2x=8x-9 | | 5.5x+13=73.5 | | 7*1-3y=-21 | | 4v^2-17v+15=0 | | 3(4x-8)=12x(x-2) | | 5(1-x)/6=x+1 | | 1/4/2 | | 1/6+1/7 | | 3u^2+18u+30=0 | | 7t-9=t/16 | | 7t-9/16=t | | 0=3u^2+16u-30 | | 1/4(x-16)=3/4 | | 0=-3u^2-16u-30 | | 18.75=1.25x-15 | | x-7/3+7/3=-x/7 | | 4*-5-10y=-40 | | x-10=20.27 | | -10(2x-4)+7(3x-1)-8=6-9 | | 0=-4x^2-8x-3 | | 45=(1/2)(5)(18) | | 3(c-8)+6(c-12)=12 |

Equations solver categories