(X)2+14x-2352=0

Solution for (X)2+14x-2352=0 equation:

(X)2+14X-2352=0

We add all the numbers together, and all the variables

X^2+14X-2352=0

a = 1; b = 14; c = -2352;
Δ = b2-4ac
Δ = 142-4·1·(-2352)
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-98}{2*1}=\frac{-112}{2}
=-56
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+98}{2*1}=\frac{84}{2}
=42
$