(-8x)+x/(-2x)=

Solution for (-8x)+x/(-2x)= equation:

(-8x)+x/(-2x)=

We move all terms to the left:

(-8x)+x/(-2x)-()=0


Domain of the equation: (-2x)!=0

x!=0/-2

x!=0

x∈R


We add all the numbers together, and all the variables

(-8x)+x/(-2x)=0

We get rid of parentheses

-8x+x/(-2x)=0

We multiply all the terms by the denominator


-8x*(-2x)+x=0

We add all the numbers together, and all the variables

x-8x*(-2x)=0

We multiply parentheses

16x^2+x=0

a = 16; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·16·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*16}=\frac{-2}{32}
=-1/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*16}=\frac{0}{32}
=0
$