Solve ds=(dQ)/T

$$d s = \frac { ( d Q ) } { T }$$

Solve for Q

$$\left\{\begin{matrix}Q=Ts\text{, }&T\neq 0\\Q\in \mathrm{R}\text{, }&d=0\text{ and }T\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by T.

$$dsT=dQ$$

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

$$dQ=dsT$$

The equation is in standard form.

$$dQ=Tds$$

Divide both sides by d.

$$\frac{dQ}{d}=\frac{Tds}{d}$$

Dividing by d undoes the multiplication by d.

$$Q=\frac{Tds}{d}$$

Divide dsT by d.

$$Q=Ts$$

Solve for T

$$\left\{\begin{matrix}T=\frac{Q}{s}\text{, }&Q\neq 0\text{ and }s\neq 0\\T\neq 0\text{, }&\left(s=0\text{ and }Q=0\right)\text{ or }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable T cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by T.

$$dsT=dQ$$

The equation is in standard form.

$$dsT=Qd$$

Divide both sides by ds.

$$\frac{dsT}{ds}=\frac{Qd}{ds}$$

Dividing by ds undoes the multiplication by ds.

$$T=\frac{Qd}{ds}$$

Divide dQ by ds.

$$T=\frac{Q}{s}$$

Variable T cannot be equal to 0.

$$T=\frac{Q}{s}\text{, }T\neq 0$$