Solve I/x^3-pi/3x=0

$$\frac { I } { x ^ { 3 } } - \frac { \pi } { 3 x } = 0$$

Solve for I

$$I=\frac{\pi x^{2}}{3}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3x^{3}, the least common multiple of x^{3},3x.

$$3I-x^{2}\pi =0$$

Add x^{2}\pi to both sides. Anything plus zero gives itself.

$$3I=x^{2}\pi$$

The equation is in standard form.

$$3I=\pi x^{2}$$

Divide both sides by 3.

$$\frac{3I}{3}=\frac{\pi x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$I=\frac{\pi x^{2}}{3}$$

Solve for x (complex solution)

$$x=-\sqrt{\frac{3I}{\pi }}$$

$$x=\sqrt{\frac{3I}{\pi }}\text{, }I\neq 0$$

Solve for x

$$x=\sqrt{\frac{3I}{\pi }}$$

$$x=-\sqrt{\frac{3I}{\pi }}\text{, }I>0$$