x2+5x=336

Solution for x2+5x=336 equation:

x2+5x=336

We move all terms to the left:

x2+5x-(336)=0

We add all the numbers together, and all the variables

x^2+5x-336=0

a = 1; b = 5; c = -336;
Δ = b2-4ac
Δ = 52-4·1·(-336)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-37}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+37}{2*1}=\frac{32}{2}
=16
$