Solve pi(3x)^2=dx

$$\pi ( 3 x ) ^ { 2 } = d x$$

Solve for d (complex solution)

$$\left\{\begin{matrix}\\d=9\pi x\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Expand \left(3x\right)^{2}.

$$\pi \times 3^{2}x^{2}=dx$$

Calculate 3 to the power of 2 and get 9.

$$\pi \times 9x^{2}=dx$$

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

$$dx=\pi \times 9x^{2}$$

The equation is in standard form.

$$xd=9\pi x^{2}$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{9\pi x^{2}}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{9\pi x^{2}}{x}$$

Divide 9\pi x^{2} by x.

$$d=9\pi x$$

Solve for d

$$\left\{\begin{matrix}\\d=9\pi x\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Expand \left(3x\right)^{2}.

$$\pi \times 3^{2}x^{2}=dx$$

Calculate 3 to the power of 2 and get 9.

$$\pi \times 9x^{2}=dx$$

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

$$dx=\pi \times 9x^{2}$$

The equation is in standard form.

$$xd=9\pi x^{2}$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{9\pi x^{2}}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{9\pi x^{2}}{x}$$

Divide 9\pi x^{2} by x.

$$d=9\pi x$$

Solve for x

$$x=\frac{d}{9\pi }$$

$$x=0$$