12/x-8=2x

Simple and best practice solution for 12/x-8=2x 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 12/x-8=2x equation:



12/x-8=2x
We move all terms to the left:
12/x-8-(2x)=0
Domain of the equation: x!=0
x∈R
We add all the numbers together, and all the variables
-2x+12/x-8=0
We multiply all the terms by the denominator
-2x*x-8*x+12=0
We add all the numbers together, and all the variables
-8x-2x*x+12=0
Wy multiply elements
-2x^2-8x+12=0
a = -2; b = -8; c = +12;
Δ = b2-4ac
Δ = -82-4·(-2)·12
Δ = 160
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-4\sqrt{10}}{2*-2}=\frac{8-4\sqrt{10}}{-4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+4\sqrt{10}}{2*-2}=\frac{8+4\sqrt{10}}{-4} $

See similar equations:

| 8x-1=-24+5x | | 0=-2.3x+6.8x^2 | | 8x+9=−15 | | X/12-8=12x | | 36=5d−14 | | 2x=51.4 | | -2m=-10. | | 40=r | | 2+2x=-2+4x | | -7(-3w+6)-7w=5(w-7)-1 | | 8x7+6=62+ | | 7.2y+13.2=78 | | 2x-49+55+90+x=180 | | 2+2x=-2+4 | | 1,541=25p+23 | | X=37-5y÷2 | | 41.5+.5c=60 | | 3(y+9)=8y-13 | | 1,541=23p+25 | | 2^3=3x+8 | | 29+m=-1 | | -2x-3=-2+17 | | -3=2y=7 | | x-4/5=4/10 | | {x/6=8 | | -8u+5(u-3)=-3 | | -10+n=19 | | v6− –58=62 | | 16x2=36x-6 | | 2x+192=300 | | 42=-17+y | | 150=35x+45 |

Equations solver categories