Solve y=5^2xdx

$$y = 5 ^ { 2 x } d x$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{y}{x\times 5^{2x}}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$5^{2x}dx=y$$

The equation is in standard form.

$$x\times 25^{x}d=y$$

Divide both sides by 25^{x}x.

$$\frac{x\times 25^{x}d}{x\times 25^{x}}=\frac{y}{x\times 25^{x}}$$

Dividing by 25^{x}x undoes the multiplication by 25^{x}x.

$$d=\frac{y}{x\times 25^{x}}$$

Divide y by 25^{x}x.

$$d=\frac{y}{x\times 5^{2x}}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{y}{x\times 5^{2x}}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$5^{2x}dx=y$$

The equation is in standard form.

$$x\times 25^{x}d=y$$

Divide both sides by 25^{x}x.

$$\frac{x\times 25^{x}d}{x\times 25^{x}}=\frac{y}{x\times 25^{x}}$$

Dividing by 25^{x}x undoes the multiplication by 25^{x}x.

$$d=\frac{y}{x\times 25^{x}}$$

Divide y by 25^{x}x.

$$d=\frac{y}{x\times 5^{2x}}$$