Solve 10mEq/5ml=15mEq/xml

$$\frac { 10 m E q } { 5 m l } = \frac { 15 m E q } { x m l }$$

Solve for E (complex solution)

$$\left\{\begin{matrix}E=0\text{, }&x\neq 0\text{ and }m\neq 0\text{ and }l\neq 0\\E\in \mathrm{C}\text{, }&l\neq 0\text{ and }m\neq 0\text{ and }\left(x=\frac{15}{2}\text{ or }q=0\right)\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5lmx, the least common multiple of 5ml,xml.

$$x\times 10mEq=5\times 15mEq$$

Multiply 5 and 15 to get 75.

$$x\times 10mEq=75mEq$$

Subtract 75mEq from both sides.

$$x\times 10mEq-75mEq=0$$

Combine all terms containing E.

$$\left(x\times 10mq-75mq\right)E=0$$

The equation is in standard form.

$$\left(10mqx-75mq\right)E=0$$

Divide 0 by 10xmq-75mq.

$$E=0$$

Solve for E

$$\left\{\begin{matrix}E=0\text{, }&x\neq 0\text{ and }m\neq 0\text{ and }l\neq 0\\E\in \mathrm{R}\text{, }&l\neq 0\text{ and }m\neq 0\text{ and }\left(x=\frac{15}{2}\text{ or }q=0\right)\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5lmx, the least common multiple of 5ml,xml.

$$x\times 10mEq=5\times 15mEq$$

Multiply 5 and 15 to get 75.

$$x\times 10mEq=75mEq$$

Subtract 75mEq from both sides.

$$x\times 10mEq-75mEq=0$$

Combine all terms containing E.

$$\left(x\times 10mq-75mq\right)E=0$$

The equation is in standard form.

$$\left(10mqx-75mq\right)E=0$$

Divide 0 by 10xmq-75mq.

$$E=0$$

Solve for l

$$l\neq 0$$

$$m\neq 0\text{ and }\left(E=0\text{ or }x=\frac{15}{2}\text{ or }q=0\right)\text{ and }x\neq 0$$