X(162=9x)

Solution for X(162=9x) equation:

X(162=9X)

We move all terms to the left:

X(162-(9X))=0

We add all the numbers together, and all the variables

X(-9X+162)=0

We multiply parentheses

-9X^2+162X=0

a = -9; b = 162; c = 0;
Δ = b2-4ac
Δ = 1622-4·(-9)·0
Δ = 26244
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26244}=162$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(162)-162}{2*-9}=\frac{-324}{-18}
=+18
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(162)+162}{2*-9}=\frac{0}{-18}
=0
$