x^2+50x+600=5600

Solution for x^2+50x+600=5600 equation:

x^2+50x+600=5600

We move all terms to the left:

x^2+50x+600-(5600)=0

We add all the numbers together, and all the variables

x^2+50x-5000=0

a = 1; b = 50; c = -5000;
Δ = b2-4ac
Δ = 502-4·1·(-5000)
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-150}{2*1}=\frac{-200}{2}
=-100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+150}{2*1}=\frac{100}{2}
=50
$