Solve I=P/sqrt{3Vcosθ}

$$I = \frac { P } { \sqrt { 3 } V \cos \theta }$$

Solve for P

$$P=\sqrt{3}IV\cos(\theta )$$

$$V\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}$$

Steps for Solving Linear Equation

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

$$\frac{P}{\sqrt{3}V\cos(\theta )}=I$$

The equation is in standard form.

$$\frac{1}{\sqrt{3}V\cos(\theta )}P=I$$

Divide both sides by \left(\sqrt{3}\right)^{-1}V^{-1}\left(\cos(\theta )\right)^{-1}.

$$\frac{\frac{1}{\sqrt{3}V\cos(\theta )}P\sqrt{3}V\cos(\theta )}{1}=\frac{I\sqrt{3}V\cos(\theta )}{1}$$

Dividing by \left(\sqrt{3}\right)^{-1}V^{-1}\left(\cos(\theta )\right)^{-1} undoes the multiplication by \left(\sqrt{3}\right)^{-1}V^{-1}\left(\cos(\theta )\right)^{-1}.

$$P=\frac{I\sqrt{3}V\cos(\theta )}{1}$$

Divide I by \left(\sqrt{3}\right)^{-1}V^{-1}\left(\cos(\theta )\right)^{-1}.

$$P=\sqrt{3}IV\cos(\theta )$$

Solve for I (complex solution)

$$I=\frac{\sqrt{3}P}{3V\cos(\theta )}$$

$$V\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}$$

Solve for I

$$I=\frac{\sqrt{3}P}{3V\cos(\theta )}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\text{ and }V\neq 0$$