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 5Xlm, 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.

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

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 5Xlm, 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.

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

Divide 0 by 10Xmq-75mq.

$$E=0$$

Solve for X

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

Steps for Solving Linear Equation

Variable X cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5Xlm, the least common multiple of 5ml,Xml.

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

Multiply 5 and 15 to get 75.

$$X\times 10mEq=75mEq$$

The equation is in standard form.

$$10EmqX=75Emq$$

Divide both sides by 10mEq.

$$\frac{10EmqX}{10Emq}=\frac{75Emq}{10Emq}$$

Dividing by 10mEq undoes the multiplication by 10mEq.

$$X=\frac{75Emq}{10Emq}$$

Divide 75mEq by 10mEq.

$$X=\frac{15}{2}$$