X^2+375x-15000=0

Solution for X^2+375x-15000=0 equation:

X^2+375X-15000=0

a = 1; b = 375; c = -15000;
Δ = b2-4ac
Δ = 3752-4·1·(-15000)
Δ = 200625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{200625}=\sqrt{625*321}=\sqrt{625}*\sqrt{321}=25\sqrt{321}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(375)-25\sqrt{321}}{2*1}=\frac{-375-25\sqrt{321}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(375)+25\sqrt{321}}{2*1}=\frac{-375+25\sqrt{321}}{2}
$