6770=62x2+60x-30

Solution for 6770=62x2+60x-30 equation:

6770=62x^2+60x-30

We move all terms to the left:

6770-(62x^2+60x-30)=0

We get rid of parentheses

-62x^2-60x+30+6770=0

We add all the numbers together, and all the variables

-62x^2-60x+6800=0

a = -62; b = -60; c = +6800;
Δ = b2-4ac
Δ = -602-4·(-62)·6800
Δ = 1690000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1690000}=1300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-1300}{2*-62}=\frac{-1240}{-124}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+1300}{2*-62}=\frac{1360}{-124}
=-10+30/31
$