0=x^2+65x-12,835

Solution for 0=x^2+65x-12,835 equation:

0=x^2+65x-12.835

We move all terms to the left:

0-(x^2+65x-12.835)=0

We add all the numbers together, and all the variables

-(x^2+65x-12.835)=0

We get rid of parentheses

-x^2-65x+12.835=0

We add all the numbers together, and all the variables

-1x^2-65x+12.835=0

a = -1; b = -65; c = +12.835;
Δ = b2-4ac
Δ = -652-4·(-1)·12.835
Δ = 4276.34
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{-(-65)-\sqrt{4276.34}}{2*-1}=\frac{65-\sqrt{4276.34}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+\sqrt{4276.34}}{2*-1}=\frac{65+\sqrt{4276.34}}{-2}
$