x^2+.2x-336,000=0

Solution for x^2+.2x-336,000=0 equation:

x^2+.2x-336.000=0

We add all the numbers together, and all the variables

x^2+.2x-336=0

a = 1; b = .2; c = -336;
Δ = b2-4ac
Δ = .22-4·1·(-336)
Δ = 1344.04
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(.2)-\sqrt{1344.04}}{2*1}=\frac{-0.2-\sqrt{1344.04}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(.2)+\sqrt{1344.04}}{2*1}=\frac{-0.2+\sqrt{1344.04}}{2}
$