2330=(x-9)x

Solution for 2330=(x-9)x equation:

2330=(x-9)x

We move all terms to the left:

2330-((x-9)x)=0


We calculate terms in parentheses: -((x-9)x), so:

(x-9)x

We multiply parentheses

x^2-9x

Back to the equation:

-(x^2-9x)


We get rid of parentheses

-x^2+9x+2330=0

We add all the numbers together, and all the variables

-1x^2+9x+2330=0

a = -1; b = 9; c = +2330;
Δ = b2-4ac
Δ = 92-4·(-1)·2330
Δ = 9401
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{-(9)-\sqrt{9401}}{2*-1}=\frac{-9-\sqrt{9401}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{9401}}{2*-1}=\frac{-9+\sqrt{9401}}{-2}
$