Resolver 2m/3n^2=4t^2/5w

$$\frac { 2 m } { 3 n ^ { 2 } } = \frac { 4 t ^ { 2 } } { 5 w }$$

Resolver m

$$m=\frac{6\left(nt\right)^{2}}{5w}$$

$$n\neq 0\text{ and }w\neq 0$$

Pasos para resolver unha ecuación lineal

Multiplica ambos lados da ecuación por 15wn^{2}, o mínimo común denominador de 3n^{2},5w.

$$5w\times 2m=3n^{2}\times 4t^{2}$$

Multiplica 5 e 2 para obter 10.

$$10wm=3n^{2}\times 4t^{2}$$

Multiplica 3 e 4 para obter 12.

$$10wm=12n^{2}t^{2}$$

Divide ambos lados entre 10w.

$$\frac{10wm}{10w}=\frac{12n^{2}t^{2}}{10w}$$

A división entre 10w desfai a multiplicación por 10w.

$$m=\frac{12n^{2}t^{2}}{10w}$$

Divide 12n^{2}t^{2} entre 10w.

$$m=\frac{6n^{2}t^{2}}{5w}$$

Resolver n

$$\left\{\begin{matrix}n=\frac{\sqrt{30mw}}{6t}\text{; }n=-\frac{\sqrt{30mw}}{6t}\text{, }&\left(t\neq 0\text{ and }w<0\text{ and }m<0\right)\text{ or }\left(t\neq 0\text{ and }m>0\text{ and }w>0\right)\\n\neq 0\text{, }&t=0\text{ and }m=0\text{ and }w\neq 0\end{matrix}\right.$$