Solve S=1/29t^2quadETI

$$S = \frac { 1 } { 2 } 9 t ^ { 2 } \quad E T I$$

Solve for E

$$\left\{\begin{matrix}E=\frac{2S}{9ITt^{2}}\text{, }&I\neq 0\text{ and }T\neq 0\text{ and }t\neq 0\\E\in \mathrm{R}\text{, }&\left(t=0\text{ or }T=0\text{ or }I=0\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 9 to get \frac{9}{2}.

$$S=\frac{9}{2}t^{2}ETI$$

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

$$\frac{9}{2}t^{2}ETI=S$$

The equation is in standard form.

$$\frac{9ITt^{2}}{2}E=S$$

Divide both sides by \frac{9}{2}t^{2}TI.

$$\frac{2\times \frac{9ITt^{2}}{2}E}{9ITt^{2}}=\frac{2S}{9ITt^{2}}$$

Dividing by \frac{9}{2}t^{2}TI undoes the multiplication by \frac{9}{2}t^{2}TI.

$$E=\frac{2S}{9ITt^{2}}$$

Solve for I

$$\left\{\begin{matrix}I=\frac{2S}{9ETt^{2}}\text{, }&T\neq 0\text{ and }E\neq 0\text{ and }t\neq 0\\I\in \mathrm{R}\text{, }&\left(t=0\text{ or }E=0\text{ or }T=0\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 9 to get \frac{9}{2}.

$$S=\frac{9}{2}t^{2}ETI$$

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

$$\frac{9}{2}t^{2}ETI=S$$

The equation is in standard form.

$$\frac{9ETt^{2}}{2}I=S$$

Divide both sides by \frac{9}{2}t^{2}ET.

$$\frac{2\times \frac{9ETt^{2}}{2}I}{9ETt^{2}}=\frac{2S}{9ETt^{2}}$$

Dividing by \frac{9}{2}t^{2}ET undoes the multiplication by \frac{9}{2}t^{2}ET.

$$I=\frac{2S}{9ETt^{2}}$$