x^2+5x=6800

Solution for x^2+5x=6800 equation:

x^2+5x=6800

We move all terms to the left:

x^2+5x-(6800)=0

a = 1; b = 5; c = -6800;
Δ = b2-4ac
Δ = 52-4·1·(-6800)
Δ = 27225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{27225}=165$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-165}{2*1}=\frac{-170}{2}
=-85
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+165}{2*1}=\frac{160}{2}
=80
$