$$x+\frac{6}{x-3}=\frac{2x}{x-3}$$

$$\frac{dy}{dx}+4y=1$$

$$\frac{dy}{dx}=2xy-2x+y-1$$

$$2\sin^2\left(z\right)+\sin\left(z\right)=0$$

$$\left(4m^2+16m^8\right)$$

$$\left(x^2-5x+8\right)+\left(x^2+10x-30\right)$$

$$\tan150=\tan30$$