.07x.04(6000-x)=360

Solution for .07x.04(6000-x)=360 equation:

.07x.04(6000-x)=360

We move all terms to the left:

.07x.04(6000-x)-(360)=0

We add all the numbers together, and all the variables

.07x.04(-1x+6000)-360=0

We multiply parentheses

-1x^2+6000x-360=0

a = -1; b = 6000; c = -360;
Δ = b2-4ac
Δ = 60002-4·(-1)·(-360)
Δ = 35998560
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:

$\sqrt{\Delta}=\sqrt{35998560}=\sqrt{144*249990}=\sqrt{144}*\sqrt{249990}=12\sqrt{249990}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6000)-12\sqrt{249990}}{2*-1}=\frac{-6000-12\sqrt{249990}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6000)+12\sqrt{249990}}{2*-1}=\frac{-6000+12\sqrt{249990}}{-2}
$