8150=x^2-17x+32

Solution for 8150=x^2-17x+32 equation:

8150=x^2-17x+32

We move all terms to the left:

8150-(x^2-17x+32)=0

We get rid of parentheses

-x^2+17x-32+8150=0

We add all the numbers together, and all the variables

-1x^2+17x+8118=0

a = -1; b = 17; c = +8118;
Δ = b2-4ac
Δ = 172-4·(-1)·8118
Δ = 32761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32761}=181$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-181}{2*-1}=\frac{-198}{-2}
=+99
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+181}{2*-1}=\frac{164}{-2}
=-82
$