X(10x-1)=30

Solution for X(10x-1)=30 equation:

X(10X-1)=30

We move all terms to the left:

X(10X-1)-(30)=0

We multiply parentheses

10X^2-1X-30=0

a = 10; b = -1; c = -30;
Δ = b2-4ac
Δ = -12-4·10·(-30)
Δ = 1201
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{-(-1)-\sqrt{1201}}{2*10}=\frac{1-\sqrt{1201}}{20}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1201}}{2*10}=\frac{1+\sqrt{1201}}{20}
$