x^2+6*x=352

Solution for x^2+6*x=352 equation:

x^2+6x=352

We move all terms to the left:

x^2+6x-(352)=0

a = 1; b = 6; c = -352;
Δ = b2-4ac
Δ = 62-4·1·(-352)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-38}{2*1}=\frac{-44}{2}
=-22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+38}{2*1}=\frac{32}{2}
=16
$