Solve ga(x)=2ae^4

$$g a ( x ) = 2 a e ^ { 4 }$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&g=\frac{2e^{4}}{x}\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2ae^{4} from both sides.

$$gax-2ae^{4}=0$$

Combine all terms containing a.

$$\left(gx-2e^{4}\right)a=0$$

Divide 0 by gx-2e^{4}.

$$a=0$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{2e^{4}}{x}\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$axg=2e^{4}a$$

Divide both sides by ax.

$$\frac{axg}{ax}=\frac{2e^{4}a}{ax}$$

Dividing by ax undoes the multiplication by ax.

$$g=\frac{2e^{4}a}{ax}$$

Divide 2ae^{4} by ax.

$$g=\frac{2e^{4}}{x}$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&g=\frac{2e^{4}}{x}\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2ae^{4} from both sides.

$$gax-2ae^{4}=0$$

Combine all terms containing a.

$$\left(gx-2e^{4}\right)a=0$$

Divide 0 by gx-2e^{4}.

$$a=0$$

Solve for g

$$\left\{\begin{matrix}g=\frac{2e^{4}}{x}\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$axg=2e^{4}a$$

Divide both sides by ax.

$$\frac{axg}{ax}=\frac{2e^{4}a}{ax}$$

Dividing by ax undoes the multiplication by ax.

$$g=\frac{2e^{4}a}{ax}$$

Divide 2ae^{4} by ax.

$$g=\frac{2e^{4}}{x}$$