X(x+14)=1887

Solution for X(x+14)=1887 equation:

X(X+14)=1887

We move all terms to the left:

X(X+14)-(1887)=0

We multiply parentheses

X^2+14X-1887=0

a = 1; b = 14; c = -1887;
Δ = b2-4ac
Δ = 142-4·1·(-1887)
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-88}{2*1}=\frac{-102}{2}
=-51
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+88}{2*1}=\frac{74}{2}
=37
$