0=3n^2-7n-6860

Solution for 0=3n^2-7n-6860 equation:

0=3n^2-7n-6860

We move all terms to the left:

0-(3n^2-7n-6860)=0

We add all the numbers together, and all the variables

-(3n^2-7n-6860)=0

We get rid of parentheses

-3n^2+7n+6860=0

a = -3; b = 7; c = +6860;
Δ = b2-4ac
Δ = 72-4·(-3)·6860
Δ = 82369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82369}=287$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-287}{2*-3}=\frac{-294}{-6}
=+49
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+287}{2*-3}=\frac{280}{-6}
=-46+2/3
$