12=(45x)2

Solution for 12=(45x)2 equation:

12=(45x)2

We move all terms to the left:

12-((45x)2)=0

determiningTheFunctionDomain
-45x2+12=0

We add all the numbers together, and all the variables

-45x^2+12=0

a = -45; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-45)·12
Δ = 2160
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:

$\sqrt{\Delta}=\sqrt{2160}=\sqrt{144*15}=\sqrt{144}*\sqrt{15}=12\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{15}}{2*-45}=\frac{0-12\sqrt{15}}{-90}
=-\frac{12\sqrt{15}}{-90}
=-\frac{2\sqrt{15}}{-15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{15}}{2*-45}=\frac{0+12\sqrt{15}}{-90}
=\frac{12\sqrt{15}}{-90}
=\frac{2\sqrt{15}}{-15}
$