14x^2+448x=10752

Solution for 14x^2+448x=10752 equation:

14x^2+448x=10752

We move all terms to the left:

14x^2+448x-(10752)=0

a = 14; b = 448; c = -10752;
Δ = b2-4ac
Δ = 4482-4·14·(-10752)
Δ = 802816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{802816}=896$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(448)-896}{2*14}=\frac{-1344}{28}
=-48
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(448)+896}{2*14}=\frac{448}{28}
=16
$