Mathematica redundant transcandental equations

[Nusc]

Main Question or Discussion Point

Homework Statement

If you define x to be real,

x Esc el Esc Reals

Then right
Conjugate[Exp[[- Esc ii Esc * x ]]]

Mathematica will output
[Exp[Esc ii Esc * Conjugate[x]]]

How do I make it so it doesn't write Conjugate[x] and just x?

Homework Equations

The Attempt at a Solution

 

[Nusc]

Element[x,Reals] and Esc el Esc work but does anyone know the ordering?

 

[Nusc]

So say if I had

4 * Sin[x*t]^2 * Sin[t*sqrt(4+x^2)]^2 == 0

Writing Solve[{4 * Sin[x*t]^2 * Sin[t*sqrt(4+x^2)]^2 == 0,another similiar expression with negatives say,}{x,t}]

This command works with polynomials but not so subtle with trig functions, does anyone know what I can do to solve for x and t simultaneously?
Would give me an error, inconsistent or redundant transcandental equation.