18a*18a=8

Solution for 18a*18a=8 equation:

18a*18a=8

We move all terms to the left:

18a*18a-(8)=0

Wy multiply elements

324a^2-8=0

a = 324; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·324·(-8)
Δ = 10368
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{2}}{2*324}=\frac{0-72\sqrt{2}}{648}
=-\frac{72\sqrt{2}}{648}
=-\frac{\sqrt{2}}{9}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{2}}{2*324}=\frac{0+72\sqrt{2}}{648}
=\frac{72\sqrt{2}}{648}
=\frac{\sqrt{2}}{9}
$