4x*X=1x*4000

Solution for 4x*X=1x*4000 equation:

4x*x=1x*4000

We move all terms to the left:

4x*x-(1x*4000)=0

We add all the numbers together, and all the variables

4x*x-(+1x*4000)=0

Wy multiply elements

4x^2-(+1x*4000)=0

We get rid of parentheses

4x^2-1x*4000=0

Wy multiply elements

4x^2-4000x=0

a = 4; b = -4000; c = 0;
Δ = b2-4ac
Δ = -40002-4·4·0
Δ = 16000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16000000}=4000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4000)-4000}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4000)+4000}{2*4}=\frac{8000}{8}
=1000
$