0=39x^2-482x-2460

Solution for 0=39x^2-482x-2460 equation:

0=39x^2-482x-2460

We move all terms to the left:

0-(39x^2-482x-2460)=0

We add all the numbers together, and all the variables

-(39x^2-482x-2460)=0

We get rid of parentheses

-39x^2+482x+2460=0

a = -39; b = 482; c = +2460;
Δ = b2-4ac
Δ = 4822-4·(-39)·2460
Δ = 616084
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:

$\sqrt{\Delta}=\sqrt{616084}=\sqrt{4*154021}=\sqrt{4}*\sqrt{154021}=2\sqrt{154021}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(482)-2\sqrt{154021}}{2*-39}=\frac{-482-2\sqrt{154021}}{-78}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(482)+2\sqrt{154021}}{2*-39}=\frac{-482+2\sqrt{154021}}{-78}
$