550=x^2-3x

Solution for 550=x^2-3x equation:

550=x^2-3x

We move all terms to the left:

550-(x^2-3x)=0

We get rid of parentheses

-x^2+3x+550=0

We add all the numbers together, and all the variables

-1x^2+3x+550=0

a = -1; b = 3; c = +550;
Δ = b2-4ac
Δ = 32-4·(-1)·550
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-47}{2*-1}=\frac{-50}{-2}
=+25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+47}{2*-1}=\frac{44}{-2}
=-22
$