0=6x^2+x-245

Solution for 0=6x^2+x-245 equation:

0=6x^2+x-245

We move all terms to the left:

0-(6x^2+x-245)=0

We add all the numbers together, and all the variables

-(6x^2+x-245)=0

We get rid of parentheses

-6x^2-x+245=0

We add all the numbers together, and all the variables

-6x^2-1x+245=0

a = -6; b = -1; c = +245;
Δ = b2-4ac
Δ = -12-4·(-6)·245
Δ = 5881
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{-(-1)-\sqrt{5881}}{2*-6}=\frac{1-\sqrt{5881}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{5881}}{2*-6}=\frac{1+\sqrt{5881}}{-12}
$