Solve x^2*xy*36=2

$$x ^ { 2 } * x y * 36 = 2$$

Solve for y

$$y=\frac{1}{18x^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}y\times 36=2$$

The equation is in standard form.

$$36x^{3}y=2$$

Divide both sides by 36x^{3}.

$$\frac{36x^{3}y}{36x^{3}}=\frac{2}{36x^{3}}$$

Dividing by 36x^{3} undoes the multiplication by 36x^{3}.

$$y=\frac{2}{36x^{3}}$$

Divide 2 by 36x^{3}.

$$y=\frac{1}{18x^{3}}$$

Solve for x (complex solution)

$$x=\frac{18^{\frac{2}{3}}e^{\frac{2\pi i}{3}}y^{-\frac{1}{3}}}{18}$$

$$x=\frac{18^{\frac{2}{3}}y^{-\frac{1}{3}}}{18}$$

$$x=\frac{18^{\frac{2}{3}}e^{\frac{4\pi i}{3}}y^{-\frac{1}{3}}}{18}\text{, }y\neq 0$$

Solve for x

$$x=\frac{18^{\frac{2}{3}}}{18\sqrt[3]{y}}$$

$$y\neq 0$$