550=(x+3)(x)

Solution for 550=(x+3)(x) equation:

550=(x+3)(x)

We move all terms to the left:

550-((x+3)(x))=0


We calculate terms in parentheses: -((x+3)x), so:

(x+3)x

We multiply parentheses

x^2+3x

Back to the equation:

-(x^2+3x)


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