Solve 2n^2=1/2n2n

$$2 n ^ { 2 } = \frac { 1 } { 2 } n 2 n$$

Solve for n_2

$$\left\{\begin{matrix}\\n_{2}=4n\text{, }&\text{unconditionally}\\n_{2}\in \mathrm{R}\text{, }&n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}n_{2}n=2n^{2}$$

The equation is in standard form.

$$\frac{n}{2}n_{2}=2n^{2}$$

Divide both sides by \frac{1}{2}n.

$$\frac{2\times \frac{n}{2}n_{2}}{n}=\frac{2\times 2n^{2}}{n}$$

Dividing by \frac{1}{2}n undoes the multiplication by \frac{1}{2}n.

$$n_{2}=\frac{2\times 2n^{2}}{n}$$

Divide 2n^{2} by \frac{1}{2}n.

$$n_{2}=4n$$

Solve for n

$$n=\frac{n_{2}}{4}$$

$$n=0$$