Solve F:(0.4):D:4=-4

$$F : ( 0.4 ) : D : 4 = - 4$$

Solve for D

$$D=-\frac{5F}{32}$$

$$F\neq 0$$

Steps for Solving Linear Equation

Multiply both sides by 4.

$$\frac{\frac{F}{0.4}}{D}=-4\times 4$$

Variable D cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by D.

$$\frac{F}{0.4}=-4\times 4D$$

Multiply -4 and 4 to get -16.

$$\frac{F}{0.4}=-16D$$

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

$$-16D=\frac{F}{0.4}$$

The equation is in standard form.

$$-16D=\frac{5F}{2}$$

Divide both sides by -16.

$$\frac{-16D}{-16}=\frac{5F}{-16\times 2}$$

Dividing by -16 undoes the multiplication by -16.

$$D=\frac{5F}{-16\times 2}$$

Divide \frac{5F}{2} by -16.

$$D=-\frac{5F}{32}$$

Variable D cannot be equal to 0.

$$D=-\frac{5F}{32}\text{, }D\neq 0$$

Solve for F

$$F=-\frac{32D}{5}$$

$$D\neq 0$$

Steps for Solving Linear Equation

Multiply both sides by 4.

$$\frac{\frac{F}{0.4}}{D}=-4\times 4$$

Multiply both sides of the equation by D.

$$\frac{F}{0.4}=-4\times 4D$$

Multiply -4 and 4 to get -16.

$$\frac{F}{0.4}=-16D$$

The equation is in standard form.

$$\frac{5}{2}F=-16D$$

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

$$\frac{\frac{5}{2}F}{\frac{5}{2}}=-\frac{16D}{\frac{5}{2}}$$

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

$$F=-\frac{16D}{\frac{5}{2}}$$

Divide -16D by \frac{5}{2} by multiplying -16D by the reciprocal of \frac{5}{2}.

$$F=-\frac{32D}{5}$$