(2000/2000000)*x=0,4

Solution for (2000/2000000)*x=0,4 equation:

(2000/2000000)*x=0.4

We move all terms to the left:

(2000/2000000)*x-(0.4)=0


Domain of the equation: 2000000)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+2000/2000000)*x-(0.4)=0

We add all the numbers together, and all the variables

(+2000/2000000)*x-0.4=0

We multiply parentheses

2000x^2-0.4=0

a = 2000; b = 0; c = -0.4;
Δ = b2-4ac
Δ = 02-4·2000·(-0.4)
Δ = 3200
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:

$\sqrt{\Delta}=\sqrt{3200}=\sqrt{1600*2}=\sqrt{1600}*\sqrt{2}=40\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{2}}{2*2000}=\frac{0-40\sqrt{2}}{4000}
=-\frac{40\sqrt{2}}{4000}
=-\frac{\sqrt{2}}{100}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{2}}{2*2000}=\frac{0+40\sqrt{2}}{4000}
=\frac{40\sqrt{2}}{4000}
=\frac{\sqrt{2}}{100}
$