18x*2x=27

Solution for 18x*2x=27 equation:

18x*2x=27

We move all terms to the left:

18x*2x-(27)=0

Wy multiply elements

36x^2-27=0

a = 36; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·36·(-27)
Δ = 3888
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:

$\sqrt{\Delta}=\sqrt{3888}=\sqrt{1296*3}=\sqrt{1296}*\sqrt{3}=36\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{3}}{2*36}=\frac{0-36\sqrt{3}}{72}
=-\frac{36\sqrt{3}}{72}
=-\frac{\sqrt{3}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{3}}{2*36}=\frac{0+36\sqrt{3}}{72}
=\frac{36\sqrt{3}}{72}
=\frac{\sqrt{3}}{2}
$