Solve 2.07m=1/2(1.71m/s^2)t^2

$$2.07 m = \frac { 1 } { 2 } ( 1.71 \frac { m } { s ^ { 2 } } ) t ^ { 2 }$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&t\neq 0\text{ and }|s|=\frac{\sqrt{874}|t|}{46}\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2s^{2}, the least common multiple of 2,s^{2}.

$$2.07m\times 2s^{2}=\frac{1}{2}\times 1.71\times 2mt^{2}$$

Multiply 2.07 and 2 to get 4.14.

$$4.14ms^{2}=\frac{1}{2}\times 1.71\times 2mt^{2}$$

Multiply \frac{1}{2} and 1.71 to get \frac{171}{200}.

$$4.14ms^{2}=\frac{171}{200}\times 2mt^{2}$$

Multiply \frac{171}{200} and 2 to get \frac{171}{100}.

$$4.14ms^{2}=\frac{171}{100}mt^{2}$$

Subtract \frac{171}{100}mt^{2} from both sides.

$$4.14ms^{2}-\frac{171}{100}mt^{2}=0$$

Combine all terms containing m.

$$\left(4.14s^{2}-\frac{171}{100}t^{2}\right)m=0$$

The equation is in standard form.

$$\left(\frac{207s^{2}}{50}-\frac{171t^{2}}{100}\right)m=0$$

Divide 0 by 4.14s^{2}-\frac{171}{100}t^{2}.

$$m=0$$

Solve for s

$$\left\{\begin{matrix}\\s\neq 0\text{, }&\text{unconditionally}\\s=\frac{\sqrt{874}t}{46}\text{; }s=-\frac{\sqrt{874}t}{46}\text{, }&t\neq 0\end{matrix}\right.$$