Resol 3ab^2=10a

$$3 a b ^ { 2 } = 10 a$$

Resoleu a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&b=-\frac{\sqrt{30}}{3}\text{ or }b=\frac{\sqrt{30}}{3}\end{matrix}\right,$$

Passos per resoldre una equació lineal

Resteu 10a en tots dos costats.

$$3ab^{2}-10a=0$$

Combineu tots els termes que continguin a.

$$\left(3b^{2}-10\right)a=0$$

Dividiu 0 per 3b^{2}-10.

$$a=0$$

Resoleu a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&|b|=\frac{\sqrt{30}}{3}\end{matrix}\right,$$

Passos per resoldre una equació lineal

Resteu 10a en tots dos costats.

$$3ab^{2}-10a=0$$

Combineu tots els termes que continguin a.

$$\left(3b^{2}-10\right)a=0$$

Dividiu 0 per 3b^{2}-10.

$$a=0$$

Resoleu b (complex solution)

$$\left\{\begin{matrix}\\b=-\frac{\sqrt{30}}{3}\text{; }b=\frac{\sqrt{30}}{3}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right,$$

Resoleu b

$$\left\{\begin{matrix}\\b=\frac{\sqrt{30}}{3}\text{; }b=-\frac{\sqrt{30}}{3}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right,$$