600x+80-14000x^2=0

Solution for 600x+80-14000x^2=0 equation:

600x+80-14000x^2=0

a = -14000; b = 600; c = +80;
Δ = b2-4ac
Δ = 6002-4·(-14000)·80
Δ = 4840000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4840000}=2200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(600)-2200}{2*-14000}=\frac{-2800}{-28000}
=1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(600)+2200}{2*-14000}=\frac{1600}{-28000}
=-2/35
$