Solve (3a^3)^2=6a^6D

$$( 3 a ^ { 3 } ) ^ { 2 } = 6 a ^ { 6 } D$$

Solve for D

$$\left\{\begin{matrix}\\D=\frac{3}{2}=1.5\text{, }&\text{unconditionally}\\D\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$3^{2}\left(a^{3}\right)^{2}=6a^{6}D$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$3^{2}a^{6}=6a^{6}D$$

Calculate 3 to the power of 2 and get 9.

$$9a^{6}=6a^{6}D$$

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

$$6a^{6}D=9a^{6}$$

Divide both sides by 6a^{6}.

$$\frac{6a^{6}D}{6a^{6}}=\frac{9a^{6}}{6a^{6}}$$

Dividing by 6a^{6} undoes the multiplication by 6a^{6}.

$$D=\frac{9a^{6}}{6a^{6}}$$

Divide 9a^{6} by 6a^{6}.

$$D=\frac{3}{2}$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&D=\frac{3}{2}\end{matrix}\right.$$