Solve S=(Xcos(S)*sqrt{S^3})

$$S = ( X \cos ( S ) \times \sqrt { S ^ { 3 } } )$$

Solve for X

$$\left\{\begin{matrix}X=\frac{1}{\sqrt{S}\cos(S)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }S=\pi n_{1}+\frac{\pi }{2}\text{ and }S>0\\X\in \mathrm{R}\text{, }&S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$X\cos(S)\sqrt{S^{3}}=S$$

The equation is in standard form.

$$\sqrt{S^{3}}\cos(S)X=S$$

Divide both sides by \cos(S)\sqrt{S^{3}}.

$$\frac{\sqrt{S^{3}}\cos(S)X}{\sqrt{S^{3}}\cos(S)}=\frac{S}{\sqrt{S^{3}}\cos(S)}$$

Dividing by \cos(S)\sqrt{S^{3}} undoes the multiplication by \cos(S)\sqrt{S^{3}}.

$$X=\frac{S}{\sqrt{S^{3}}\cos(S)}$$

Divide S by \cos(S)\sqrt{S^{3}}.

$$X=\frac{1}{\sqrt{S}\cos(S)}$$