X=144x^2

Solution for X=144x^2 equation:

X=144X^2

We move all terms to the left:

X-(144X^2)=0

determiningTheFunctionDomain
-144X^2+X=0

a = -144; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-144)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-144}=\frac{-2}{-288}
=1/144
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-144}=\frac{0}{-288}
=0
$