0=x^2-25x-10350

Solution for 0=x^2-25x-10350 equation:

0=x^2-25x-10350

We move all terms to the left:

0-(x^2-25x-10350)=0

We add all the numbers together, and all the variables

-(x^2-25x-10350)=0

We get rid of parentheses

-x^2+25x+10350=0

We add all the numbers together, and all the variables

-1x^2+25x+10350=0

a = -1; b = 25; c = +10350;
Δ = b2-4ac
Δ = 252-4·(-1)·10350
Δ = 42025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42025}=205$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-205}{2*-1}=\frac{-230}{-2}
=+115
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+205}{2*-1}=\frac{180}{-2}
=-90
$