Solve 50m^3=7mxy

$$50 m ^ { 3 } = 7 m x y$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{50m^{2}}{7y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$7mxy=50m^{3}$$

The equation is in standard form.

$$7myx=50m^{3}$$

Divide both sides by 7my.

$$\frac{7myx}{7my}=\frac{50m^{3}}{7my}$$

Dividing by 7my undoes the multiplication by 7my.

$$x=\frac{50m^{3}}{7my}$$

Divide 50m^{3} by 7my.

$$x=\frac{50m^{2}}{7y}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{50m^{2}}{7y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$7mxy=50m^{3}$$

The equation is in standard form.

$$7myx=50m^{3}$$

Divide both sides by 7my.

$$\frac{7myx}{7my}=\frac{50m^{3}}{7my}$$

Dividing by 7my undoes the multiplication by 7my.

$$x=\frac{50m^{3}}{7my}$$

Divide 50m^{3} by 7my.

$$x=\frac{50m^{2}}{7y}$$

Solve for m (complex solution)

$$m=\frac{\sqrt{y}\sqrt{14x}}{10}$$

$$m=0$$

$$m=-\frac{\sqrt{y}\sqrt{14x}}{10}$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m=\frac{\sqrt{14xy}}{10}\text{; }m=-\frac{\sqrt{14xy}}{10}\text{, }&\left(y\geq 0\text{ and }x\geq 0\right)\text{ or }\left(x\leq 0\text{ and }y\leq 0\right)\end{matrix}\right.$$