70/x-70/(x-5)=-1/3

Simple and best practice solution for 70/x-70/(x-5)=-1/3 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 70/x-70/(x-5)=-1/3 equation: 



70/x-70/(x-5)=-1/3

We move all terms to the left:

70/x-70/(x-5)-(-1/3)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: (x-5)!=0

We move all terms containing x to the left, all other terms to the right

x!=5

x∈R



We get rid of parentheses

70/x-70/(x-5)+1/3=0

We calculate fractions


(210x-1050)/(3x^2-15x)+(-630x)/(3x^2-15x)+(x^2*()/(3x^2-15x)=0



We calculate terms in parentheses: +(x^2*()/(3x^2-15x), so:

x^2*()/(3x^2-15x

We multiply all the terms by the denominator


x^2*()

Back to the equation:

+(x^2*())



We multiply all the terms by the denominator


(210x-1050)+(-630x)+((x^2*()))*(3x^2-15x)=0



We calculate terms in parentheses: +((x^2*()))*(3x^2-15x), so:

(x^2*()))*(3x^2-15x

We add all the numbers together, and all the variables

-15x+(x^2*()))*(3x^2

Back to the equation:

+(-15x+(x^2*()))*(3x^2)



We get rid of parentheses

210x-630x+(-15x+(x^2*()))*3x^2-1050=0

We add all the numbers together, and all the variables

-420x+(-15x+(x^2*()))*3x^2-1050=0

We move all terms containing x to the left, all other terms to the right

-420x+(-15x+(x^2*()))*3x^2=1050

See similar equations:

| 7x+31=108 | | -1/2+x/10=1/3x-5/6 | | 3/2+x=-7/6 | | 39=4x-17 | | 12x-240=360 | | -4/5*z=-6/7 | | (-3x/8)=(-15/32) | | (8x+10)(7x+10)=13/12 | | 3(-4)+4(y)=-12 | | -2x=4x+5 | | 5/3+t=2/9 | | 2.5(x+2)+4.5+1.5(x-3=15 | | 3-(1/t)-(2/t^2)=0 | | -15+x+39=180 | | 9x+17-8x=-7-13 | | (-3x/8)=(15/32) | | 42t=8+6 | | .77=6/x | | 3x^2-2x+144=0 | | 9x-9=3x+9 | | 2c-2=15 | | 9z+z=40 | | 3x+34÷8=x+3 | | 5.9+7.3(x)=11.5+x | | 9(3n+3)=8(8n+4)+6 | | 3y/8−6−2y/4=9.25 | | x+9=478 | | .3y/8−6−2y/4=9.25 | | 3x-12=31 | | 6t-6,t=6 | | 0=54+2*(-3)*x | | x3+4x2+3x=−12 |

Equations solver categories