322=(x+7)x

Solution for 322=(x+7)x equation:

322=(x+7)x

We move all terms to the left:

322-((x+7)x)=0


We calculate terms in parentheses: -((x+7)x), so:

(x+7)x

We multiply parentheses

x^2+7x

Back to the equation:

-(x^2+7x)


We get rid of parentheses

-x^2-7x+322=0

We add all the numbers together, and all the variables

-1x^2-7x+322=0

a = -1; b = -7; c = +322;
Δ = b2-4ac
Δ = -72-4·(-1)·322
Δ = 1337
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{1337}}{2*-1}=\frac{7-\sqrt{1337}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{1337}}{2*-1}=\frac{7+\sqrt{1337}}{-2}
$