Solve xy*6=yyy

$$xy \times 6=yyy$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{y^{2}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply y and y to get y^{2}.

$$xy\times 6=y^{2}y$$

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

$$xy\times 6=y^{3}$$

The equation is in standard form.

$$6yx=y^{3}$$

Divide both sides by 6y.

$$\frac{6yx}{6y}=\frac{y^{3}}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

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

Divide y^{3} by 6y.

$$x=\frac{y^{2}}{6}$$

Solve for x

$$\left\{\begin{matrix}\\x=\frac{y^{2}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply y and y to get y^{2}.

$$xy\times 6=y^{2}y$$

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

$$xy\times 6=y^{3}$$

The equation is in standard form.

$$6yx=y^{3}$$

Divide both sides by 6y.

$$\frac{6yx}{6y}=\frac{y^{3}}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

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

Divide y^{3} by 6y.

$$x=\frac{y^{2}}{6}$$

Solve for y (complex solution)

$$y=\sqrt{6x}$$

$$y=0$$

$$y=-\sqrt{6x}$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=\sqrt{6x}\text{; }y=-\sqrt{6x}\text{, }&x\geq 0\end{matrix}\right.$$