.14x.06(5000-x)=396

Solution for .14x.06(5000-x)=396 equation:

.14x.06(5000-x)=396

We move all terms to the left:

.14x.06(5000-x)-(396)=0

We add all the numbers together, and all the variables

.14x.06(-1x+5000)-396=0

We multiply parentheses

-1x^2+5000x-396=0

a = -1; b = 5000; c = -396;
Δ = b2-4ac
Δ = 50002-4·(-1)·(-396)
Δ = 24998416
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:

$\sqrt{\Delta}=\sqrt{24998416}=\sqrt{16*1562401}=\sqrt{16}*\sqrt{1562401}=4\sqrt{1562401}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5000)-4\sqrt{1562401}}{2*-1}=\frac{-5000-4\sqrt{1562401}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5000)+4\sqrt{1562401}}{2*-1}=\frac{-5000+4\sqrt{1562401}}{-2}
$