Solve 65^3sqrt{x^6}dx=5

$$65 ^ { 3 } \sqrt { x ^ { 6 } } d x = 5$$

Solve for d

$$d=\frac{1}{54925x\left(|x|\right)^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Calculate 65 to the power of 3 and get 274625.

$$274625\sqrt{x^{6}}dx=5$$

The equation is in standard form.

$$274625x\sqrt{x^{6}}d=5$$

Divide both sides by 274625\sqrt{x^{6}}x.

$$\frac{274625x\sqrt{x^{6}}d}{274625x\sqrt{x^{6}}}=\frac{5}{274625x\sqrt{x^{6}}}$$

Dividing by 274625\sqrt{x^{6}}x undoes the multiplication by 274625\sqrt{x^{6}}x.

$$d=\frac{5}{274625x\sqrt{x^{6}}}$$

Divide 5 by 274625\sqrt{x^{6}}x.

$$d=\frac{1}{54925x\left(|x|\right)^{3}}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{\sqrt{5}\sqrt[4]{\frac{13}{d}}}{65}\text{, }&d>0\\x=-\frac{\sqrt{5}\sqrt[4]{-\frac{13}{d}}}{65}\text{, }&d<0\end{matrix}\right.$$