x(x/10)=17100

Solution for x(x/10)=17100 equation:

x(x/10)=17100

We move all terms to the left:

x(x/10)-(17100)=0

We add all the numbers together, and all the variables

x(+x/10)-17100=0

We multiply parentheses

x^2-17100=0

a = 1; b = 0; c = -17100;
Δ = b2-4ac
Δ = 02-4·1·(-17100)
Δ = 68400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{68400}=\sqrt{3600*19}=\sqrt{3600}*\sqrt{19}=60\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{19}}{2*1}=\frac{0-60\sqrt{19}}{2}
=-\frac{60\sqrt{19}}{2}
=-30\sqrt{19}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{19}}{2*1}=\frac{0+60\sqrt{19}}{2}
=\frac{60\sqrt{19}}{2}
=30\sqrt{19}
$