-2*18^2n=-26

Solution for -2*18^2n=-26 equation:

-2*18^2n=-26

We move all terms to the left:

-2*18^2n-(-26)=0

We add all the numbers together, and all the variables

-2*18^2n+26=0

Wy multiply elements

-36n^2+26=0

a = -36; b = 0; c = +26;
Δ = b2-4ac
Δ = 02-4·(-36)·26
Δ = 3744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3744}=\sqrt{144*26}=\sqrt{144}*\sqrt{26}=12\sqrt{26}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{26}}{2*-36}=\frac{0-12\sqrt{26}}{-72}
=-\frac{12\sqrt{26}}{-72}
=-\frac{\sqrt{26}}{-6}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{26}}{2*-36}=\frac{0+12\sqrt{26}}{-72}
=\frac{12\sqrt{26}}{-72}
=\frac{\sqrt{26}}{-6}
$