0/x=80*x-100

Solution for 0/x=80*x-100 equation:

0/x=80x-100

We move all terms to the left:

0/x-(80x-100)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

0/x-80x+100=0

We multiply all the terms by the denominator


-80x*x+100*x+0=0

We add all the numbers together, and all the variables

100x-80x*x=0

Wy multiply elements

-80x^2+100x=0

a = -80; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·(-80)·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100}{2*-80}=\frac{-200}{-160}
=1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*-80}=\frac{0}{-160}
=0
$