Solve M*E*G*Y*E*1*A*M*V=quadquad1

$$M \cdot E \cdot G \cdot Y \cdot E \cdot 1 \cdot A \cdot M \cdot V = \quad \quad 1$$

Solve for A

$$A=\frac{1}{GVY\left(EM\right)^{2}}$$

$$V\neq 0\text{ and }M\neq 0\text{ and }E\neq 0\text{ and }Y\neq 0\text{ and }G\neq 0$$

Steps for Solving Linear Equation

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

$$M^{2}EGYE\times 1AV=1$$

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

$$M^{2}E^{2}GY\times 1AV=1$$

Reorder the terms.

$$AGVYE^{2}M^{2}=1$$

The equation is in standard form.

$$GVYE^{2}M^{2}A=1$$

Divide both sides by GVYE^{2}M^{2}.

$$\frac{GVYE^{2}M^{2}A}{GVYE^{2}M^{2}}=\frac{1}{GVYE^{2}M^{2}}$$

Dividing by GVYE^{2}M^{2} undoes the multiplication by GVYE^{2}M^{2}.

$$A=\frac{1}{GVYE^{2}M^{2}}$$

Divide 1 by GVYE^{2}M^{2}.

$$A=\frac{1}{GVY\left(EM\right)^{2}}$$

Solve for E (complex solution)

$$E=-\frac{A^{-\frac{1}{2}}G^{-\frac{1}{2}}V^{-\frac{1}{2}}Y^{-\frac{1}{2}}}{M}$$

$$E=\frac{A^{-\frac{1}{2}}G^{-\frac{1}{2}}V^{-\frac{1}{2}}Y^{-\frac{1}{2}}}{M}\text{, }V\neq 0\text{ and }A\neq 0\text{ and }Y\neq 0\text{ and }G\neq 0\text{ and }M\neq 0$$