Solve y=2operatorname{sg}420

$$y = 2 \operatorname { sg } 420$$

Solve for g_420 (complex solution)

$$\left\{\begin{matrix}g_{420}=\frac{y}{2s}\text{, }&s\neq 0\\g_{420}\in \mathrm{C}\text{, }&y=0\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2sg_{420}=y$$

Divide both sides by 2s.

$$\frac{2sg_{420}}{2s}=\frac{y}{2s}$$

Dividing by 2s undoes the multiplication by 2s.

$$g_{420}=\frac{y}{2s}$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=\frac{y}{2g_{420}}\text{, }&g_{420}\neq 0\\s\in \mathrm{C}\text{, }&y=0\text{ and }g_{420}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2sg_{420}=y$$

The equation is in standard form.

$$2g_{420}s=y$$

Divide both sides by 2g_{420}.

$$\frac{2g_{420}s}{2g_{420}}=\frac{y}{2g_{420}}$$

Dividing by 2g_{420} undoes the multiplication by 2g_{420}.

$$s=\frac{y}{2g_{420}}$$

Solve for g_420

$$\left\{\begin{matrix}g_{420}=\frac{y}{2s}\text{, }&s\neq 0\\g_{420}\in \mathrm{R}\text{, }&y=0\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2sg_{420}=y$$

Divide both sides by 2s.

$$\frac{2sg_{420}}{2s}=\frac{y}{2s}$$

Dividing by 2s undoes the multiplication by 2s.

$$g_{420}=\frac{y}{2s}$$

Solve for s

$$\left\{\begin{matrix}s=\frac{y}{2g_{420}}\text{, }&g_{420}\neq 0\\s\in \mathrm{R}\text{, }&y=0\text{ and }g_{420}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2sg_{420}=y$$

The equation is in standard form.

$$2g_{420}s=y$$

Divide both sides by 2g_{420}.

$$\frac{2g_{420}s}{2g_{420}}=\frac{y}{2g_{420}}$$

Dividing by 2g_{420} undoes the multiplication by 2g_{420}.

$$s=\frac{y}{2g_{420}}$$