x2+30x=-200

Solution for x2+30x=-200 equation:

x2+30x=-200

We move all terms to the left:

x2+30x-(-200)=0

We add all the numbers together, and all the variables

x^2+30x+200=0

a = 1; b = 30; c = +200;
Δ = b2-4ac
Δ = 302-4·1·200
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10}{2*1}=\frac{-40}{2}
=-20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10}{2*1}=\frac{-20}{2}
=-10
$