X/2x=4x/80

Solution for X/2x=4x/80 equation:

X/2X=4X/80

We move all terms to the left:

X/2X-(4X/80)=0


Domain of the equation: 2X!=0

X!=0/2

X!=0

X∈R


We add all the numbers together, and all the variables

X/2X-(+4X/80)=0

We get rid of parentheses

X/2X-4X/80=0

We calculate fractions


(-8X^2)/160X+80X/160X=0

We multiply all the terms by the denominator


(-8X^2)+80X=0

We get rid of parentheses

-8X^2+80X=0

a = -8; b = 80; c = 0;
Δ = b2-4ac
Δ = 802-4·(-8)·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-80}{2*-8}=\frac{-160}{-16}
=+10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+80}{2*-8}=\frac{0}{-16}
=0
$