Solve fi=(2400-x/800)x

$$f i = ( \frac { 2400 - x } { 800 } ) x$$

Solve for f

$$f=\frac{ix\left(x-2400\right)}{800}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 800.

$$800fi=\left(2400-x\right)x$$

Multiply 800 and i to get 800i.

$$800if=\left(2400-x\right)x$$

Use the distributive property to multiply 2400-x by x.

$$800if=2400x-x^{2}$$

Divide both sides by 800i.

$$\frac{800if}{800i}=\frac{x\left(2400-x\right)}{800i}$$

Dividing by 800i undoes the multiplication by 800i.

$$f=\frac{x\left(2400-x\right)}{800i}$$

Divide x\left(2400-x\right) by 800i.

$$f=\frac{ix^{2}}{800}-3ix$$

Solve for x

$$x=-20\sqrt{3600-2if}+1200$$

$$x=20\sqrt{3600-2if}+1200$$