(6^4)=(6a^2)

Solution for (6^4)=(6a^2) equation:

(6^4)=(6a^2)

We move all terms to the left:

(6^4)-((6a^2))=0

determiningTheFunctionDomain
-6a^2+6^4=0

We add all the numbers together, and all the variables

-6a^2+1296=0

a = -6; b = 0; c = +1296;
Δ = b2-4ac
Δ = 02-4·(-6)·1296
Δ = 31104
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:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*-6}=\frac{0-72\sqrt{6}}{-12}
=-\frac{72\sqrt{6}}{-12}
=-\frac{6\sqrt{6}}{-1}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*-6}=\frac{0+72\sqrt{6}}{-12}
=\frac{72\sqrt{6}}{-12}
=\frac{6\sqrt{6}}{-1}
$