Solve (4sqrt{3})^2=2P*12

$$( 4 \sqrt { 3 } ) ^ { 2 } = 2 P \times 12$$

Solve for P

$$P=2$$

Steps for Solving Linear Equation

Expand \left(4\sqrt{3}\right)^{2}.

$$4^{2}\left(\sqrt{3}\right)^{2}=2P\times 12$$

Calculate 4 to the power of 2 and get 16.

$$16\left(\sqrt{3}\right)^{2}=2P\times 12$$

The square of \sqrt{3} is 3.

$$16\times 3=2P\times 12$$

Multiply 16 and 3 to get 48.

$$48=2P\times 12$$

Multiply 2 and 12 to get 24.

$$48=24P$$

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

$$24P=48$$

Divide both sides by 24.

$$P=\frac{48}{24}$$

Divide 48 by 24 to get 2.

$$P=2$$