Solve u_{2}=16*d(x+2))^n-1

$$u _ { 2 } = 16 \times d ( x + 2 ) ) ^ { n - 1 }$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{u_{2}}{16\left(x+2\right)}\text{, }&x\neq -2\\d\in \mathrm{C}\text{, }&u_{2}=0\text{ and }x=-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16d by x+2.

$$u_{2}=16dx+32d$$

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

$$16dx+32d=u_{2}$$

Combine all terms containing d.

$$\left(16x+32\right)d=u_{2}$$

Divide both sides by 16x+32.

$$\frac{\left(16x+32\right)d}{16x+32}=\frac{u_{2}}{16x+32}$$

Dividing by 16x+32 undoes the multiplication by 16x+32.

$$d=\frac{u_{2}}{16x+32}$$

Divide u_{2} by 16x+32.

$$d=\frac{u_{2}}{16\left(x+2\right)}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{u_{2}}{16\left(x+2\right)}\text{, }&x\neq -2\\d\in \mathrm{R}\text{, }&u_{2}=0\text{ and }x=-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16d by x+2.

$$u_{2}=16dx+32d$$

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

$$16dx+32d=u_{2}$$

Combine all terms containing d.

$$\left(16x+32\right)d=u_{2}$$

Divide both sides by 16x+32.

$$\frac{\left(16x+32\right)d}{16x+32}=\frac{u_{2}}{16x+32}$$

Dividing by 16x+32 undoes the multiplication by 16x+32.

$$d=\frac{u_{2}}{16x+32}$$

Divide u_{2} by 16x+32.

$$d=\frac{u_{2}}{16\left(x+2\right)}$$

Solve for u_2

$$u_{2}=16d\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply 16d by x+2.

$$u_{2}=16dx+32d$$