Solve x^3=6/nquad

$$x ^ { 3 } = \frac { 6 } { n } \quad$$

Solve for n

$$n=\frac{6}{x^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.

$$nx^{3}=6$$

The equation is in standard form.

$$x^{3}n=6$$

Divide both sides by x^{3}.

$$\frac{x^{3}n}{x^{3}}=\frac{6}{x^{3}}$$

Dividing by x^{3} undoes the multiplication by x^{3}.

$$n=\frac{6}{x^{3}}$$

Variable n cannot be equal to 0.

$$n=\frac{6}{x^{3}}\text{, }n\neq 0$$

Solve for x (complex solution)

$$x=\sqrt[3]{6}e^{\frac{2\pi i}{3}}n^{-\frac{1}{3}}$$

$$x=\sqrt[3]{6}n^{-\frac{1}{3}}$$

$$x=\sqrt[3]{6}e^{\frac{4\pi i}{3}}n^{-\frac{1}{3}}\text{, }n\neq 0$$

Solve for x

$$x=\sqrt[3]{\frac{6}{n}}$$

$$n\neq 0$$