32/x-8x=0

Solution for 32/x-8x=0 equation:

32/x-8x=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-8x+32/x=0

We multiply all the terms by the denominator


-8x*x+32=0

Wy multiply elements

-8x^2+32=0

a = -8; b = 0; c = +32;
Δ = b2-4ac
Δ = 02-4·(-8)·32
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32}{2*-8}=\frac{-32}{-16}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32}{2*-8}=\frac{32}{-16}
=-2
$