9x*10x=30

Solution for 9x*10x=30 equation:

9x*10x=30

We move all terms to the left:

9x*10x-(30)=0

Wy multiply elements

90x^2-30=0

a = 90; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·90·(-30)
Δ = 10800
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:

$\sqrt{\Delta}=\sqrt{10800}=\sqrt{3600*3}=\sqrt{3600}*\sqrt{3}=60\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{3}}{2*90}=\frac{0-60\sqrt{3}}{180}
=-\frac{60\sqrt{3}}{180}
=-\frac{\sqrt{3}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{3}}{2*90}=\frac{0+60\sqrt{3}}{180}
=\frac{60\sqrt{3}}{180}
=\frac{\sqrt{3}}{3}
$