Solve 20mg/x=30mg/15

$$\frac { 20 m g } { x } = \frac { 30 m g } { 15 }$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=0\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&x=10\text{ or }\left(m=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15x, the least common multiple of x,15.

$$15\times 20mg=x\times 30mg$$

Multiply 15 and 20 to get 300.

$$300mg=x\times 30mg$$

Subtract x\times 30mg from both sides.

$$300mg-x\times 30mg=0$$

Multiply -1 and 30 to get -30.

$$300mg-30xmg=0$$

Combine all terms containing g.

$$\left(300m-30xm\right)g=0$$

The equation is in standard form.

$$\left(300m-30mx\right)g=0$$

Divide 0 by 300m-30xm.

$$g=0$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=0\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&x=10\text{ or }\left(g=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15x, the least common multiple of x,15.

$$15\times 20mg=x\times 30mg$$

Multiply 15 and 20 to get 300.

$$300mg=x\times 30mg$$

Subtract x\times 30mg from both sides.

$$300mg-x\times 30mg=0$$

Multiply -1 and 30 to get -30.

$$300mg-30xmg=0$$

Combine all terms containing m.

$$\left(300g-30xg\right)m=0$$

The equation is in standard form.

$$\left(300g-30gx\right)m=0$$

Divide 0 by 300g-30xg.

$$m=0$$

Solve for g

$$\left\{\begin{matrix}g=0\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&x=10\text{ or }\left(m=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15x, the least common multiple of x,15.

$$15\times 20mg=x\times 30mg$$

Multiply 15 and 20 to get 300.

$$300mg=x\times 30mg$$

Subtract x\times 30mg from both sides.

$$300mg-x\times 30mg=0$$

Multiply -1 and 30 to get -30.

$$300mg-30xmg=0$$

Combine all terms containing g.

$$\left(300m-30xm\right)g=0$$

The equation is in standard form.

$$\left(300m-30mx\right)g=0$$

Divide 0 by 300m-30xm.

$$g=0$$

Solve for m

$$\left\{\begin{matrix}m=0\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&x=10\text{ or }\left(g=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15x, the least common multiple of x,15.

$$15\times 20mg=x\times 30mg$$

Multiply 15 and 20 to get 300.

$$300mg=x\times 30mg$$

Subtract x\times 30mg from both sides.

$$300mg-x\times 30mg=0$$

Multiply -1 and 30 to get -30.

$$300mg-30xmg=0$$

Combine all terms containing m.

$$\left(300g-30xg\right)m=0$$

The equation is in standard form.

$$\left(300g-30gx\right)m=0$$

Divide 0 by 300g-30xg.

$$m=0$$