Solve 2=3x(2-j^2)

$$2 = 3 x ( 2 - j ^ { 2 } )$$

Solve for x (complex solution)

$$x=-\frac{2}{3\left(j^{2}-2\right)}$$

$$j\neq -\sqrt{2}\text{ and }j\neq \sqrt{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x by 2-j^{2}.

$$2=6x-3xj^{2}$$

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

$$6x-3xj^{2}=2$$

Combine all terms containing x.

$$\left(6-3j^{2}\right)x=2$$

Divide both sides by 6-3j^{2}.

$$\frac{\left(6-3j^{2}\right)x}{6-3j^{2}}=\frac{2}{6-3j^{2}}$$

Dividing by 6-3j^{2} undoes the multiplication by 6-3j^{2}.

$$x=\frac{2}{6-3j^{2}}$$

Divide 2 by 6-3j^{2}.

$$x=\frac{2}{3\left(2-j^{2}\right)}$$

Solve for x

$$x=-\frac{2}{3\left(j^{2}-2\right)}$$

$$|j|\neq \sqrt{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x by 2-j^{2}.

$$2=6x-3xj^{2}$$

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

$$6x-3xj^{2}=2$$

Combine all terms containing x.

$$\left(6-3j^{2}\right)x=2$$

Divide both sides by 6-3j^{2}.

$$\frac{\left(6-3j^{2}\right)x}{6-3j^{2}}=\frac{2}{6-3j^{2}}$$

Dividing by 6-3j^{2} undoes the multiplication by 6-3j^{2}.

$$x=\frac{2}{6-3j^{2}}$$

Divide 2 by 6-3j^{2}.

$$x=\frac{2}{3\left(2-j^{2}\right)}$$

Solve for j (complex solution)

$$j=-\frac{\sqrt{18-\frac{6}{x}}}{3}$$

$$j=\frac{\sqrt{18-\frac{6}{x}}}{3}\text{, }x\neq 0$$

Solve for j

$$j=\frac{\sqrt{18-\frac{6}{x}}}{3}$$

$$j=-\frac{\sqrt{18-\frac{6}{x}}}{3}\text{, }x\geq \frac{1}{3}\text{ or }x<0$$