Solve 9x-3x*6=1yxx

$$9x-3x \times 6=1yxx$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=-\frac{9}{x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$9x-3x\times 6=1yx^{2}$$

Multiply 3 and 6 to get 18.

$$9x-18x=1yx^{2}$$

Combine 9x and -18x to get -9x.

$$-9x=1yx^{2}$$

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

$$1yx^{2}=-9x$$

Reorder the terms.

$$yx^{2}=-9x$$

The equation is in standard form.

$$x^{2}y=-9x$$

Divide both sides by x^{2}.

$$\frac{x^{2}y}{x^{2}}=-\frac{9x}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$y=-\frac{9x}{x^{2}}$$

Divide -9x by x^{2}.

$$y=-\frac{9}{x}$$

Solve for y

$$\left\{\begin{matrix}y=-\frac{9}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$9x-3x\times 6=1yx^{2}$$

Multiply 3 and 6 to get 18.

$$9x-18x=1yx^{2}$$

Combine 9x and -18x to get -9x.

$$-9x=1yx^{2}$$

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

$$1yx^{2}=-9x$$

Reorder the terms.

$$yx^{2}=-9x$$

The equation is in standard form.

$$x^{2}y=-9x$$

Divide both sides by x^{2}.

$$\frac{x^{2}y}{x^{2}}=-\frac{9x}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$y=-\frac{9x}{x^{2}}$$

Divide -9x by x^{2}.

$$y=-\frac{9}{x}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-\frac{9}{y}\text{, }&y\neq 0\end{matrix}\right.$$