x2+5151x-515+5161.61561611=988

Solution for x2+5151x-515+5161.61561611=988 equation:

x2+5151x-515+5161.61561611=988

We move all terms to the left:

x2+5151x-515+5161.61561611-(988)=0

We add all the numbers together, and all the variables

x^2+5151x+3658.61561611=0

a = 1; b = 5151; c = +3658.61561611;
Δ = b2-4ac
Δ = 51512-4·1·3658.61561611
Δ = 26518166.537536
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{-(5151)-\sqrt{26518166.537536}}{2*1}=\frac{-5151-\sqrt{26518166.537536}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5151)+\sqrt{26518166.537536}}{2*1}=\frac{-5151+\sqrt{26518166.537536}}{2}
$