Solve 2/5f=7/sqrt{x-8}

$$\frac { 2 } { 5 } f = \frac { 7 } { \sqrt { x - 8 } }$$

Solve for f

$$f=\frac{35}{2\sqrt{x-8}}$$

$$x>8$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{2}{5}f=\frac{7}{\sqrt{x-8}}$$

Divide both sides of the equation by \frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{5}f}{\frac{2}{5}}=\frac{7}{\frac{2}{5}\sqrt{x-8}}$$

Dividing by \frac{2}{5} undoes the multiplication by \frac{2}{5}.

$$f=\frac{7}{\frac{2}{5}\sqrt{x-8}}$$

Divide \frac{7}{\sqrt{x-8}} by \frac{2}{5} by multiplying \frac{7}{\sqrt{x-8}} by the reciprocal of \frac{2}{5}.

$$f=\frac{35}{2\sqrt{x-8}}$$

Solve for x

$$x=8+\frac{1225}{4f^{2}}$$

$$f>0$$