Solve x^2*A*x=B

$$x ^ { 2 } \cdot A \cdot x = B$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=\frac{B}{x^{3}}\text{, }&x\neq 0\\A\in \mathrm{C}\text{, }&B=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}A=B$$

Divide both sides by x^{3}.

$$\frac{x^{3}A}{x^{3}}=\frac{B}{x^{3}}$$

Dividing by x^{3} undoes the multiplication by x^{3}.

$$A=\frac{B}{x^{3}}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{B}{x^{3}}\text{, }&x\neq 0\\A\in \mathrm{R}\text{, }&B=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}A=B$$

Divide both sides by x^{3}.

$$\frac{x^{3}A}{x^{3}}=\frac{B}{x^{3}}$$

Dividing by x^{3} undoes the multiplication by x^{3}.

$$A=\frac{B}{x^{3}}$$

Solve for B

$$B=Ax^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}A=B$$

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

$$B=x^{3}A$$