Solve (c^2*a^2=ba^2

$$( c ^ { 2 } \times a ^ { 2 } = b a ^ { 2 }$$

Solve for b (complex solution)

$$\left\{\begin{matrix}\\b=c^{2}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ba^{2}=c^{2}\times a^{2}$$

The equation is in standard form.

$$a^{2}b=a^{2}c^{2}$$

Divide both sides by a^{2}.

$$\frac{a^{2}b}{a^{2}}=\frac{a^{2}c^{2}}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$b=\frac{a^{2}c^{2}}{a^{2}}$$

Divide c^{2}a^{2} by a^{2}.

$$b=c^{2}$$

Solve for b

$$\left\{\begin{matrix}\\b=c^{2}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ba^{2}=c^{2}\times a^{2}$$

The equation is in standard form.

$$a^{2}b=a^{2}c^{2}$$

Divide both sides by a^{2}.

$$\frac{a^{2}b}{a^{2}}=\frac{a^{2}c^{2}}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$b=\frac{a^{2}c^{2}}{a^{2}}$$

Divide c^{2}a^{2} by a^{2}.

$$b=c^{2}$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&b=c^{2}\end{matrix}\right.$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=c^{2}\end{matrix}\right.$$