15x*18x=11

Solution for 15x*18x=11 equation:

15x*18x=11

We move all terms to the left:

15x*18x-(11)=0

Wy multiply elements

270x^2-11=0

a = 270; b = 0; c = -11;
Δ = b2-4ac
Δ = 02-4·270·(-11)
Δ = 11880
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:

$\sqrt{\Delta}=\sqrt{11880}=\sqrt{36*330}=\sqrt{36}*\sqrt{330}=6\sqrt{330}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{330}}{2*270}=\frac{0-6\sqrt{330}}{540}
=-\frac{6\sqrt{330}}{540}
=-\frac{\sqrt{330}}{90}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{330}}{2*270}=\frac{0+6\sqrt{330}}{540}
=\frac{6\sqrt{330}}{540}
=\frac{\sqrt{330}}{90}
$