Solve Q-(P+F)*1/Q=V

$$Q - ( P + F ) \cdot \frac { 1 } { Q } = V$$

Solve for F

$$F=-\left(-Q\left(Q-V\right)+P\right)$$

$$Q\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by Q.

$$QQ-\left(P+F\right)\times 1=VQ$$

Multiply Q and Q to get Q^{2}.

$$Q^{2}-\left(P+F\right)\times 1=VQ$$

Use the distributive property to multiply P+F by 1.

$$Q^{2}-\left(P+F\right)=VQ$$

To find the opposite of P+F, find the opposite of each term.

$$Q^{2}-P-F=VQ$$

Subtract Q^{2} from both sides.

$$-P-F=VQ-Q^{2}$$

Add P to both sides.

$$-F=VQ-Q^{2}+P$$

The equation is in standard form.

$$-F=P-Q^{2}+QV$$

Divide both sides by -1.

$$\frac{-F}{-1}=\frac{P-Q^{2}+QV}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$F=\frac{P-Q^{2}+QV}{-1}$$

Divide VQ-Q^{2}+P by -1.

$$F=-\left(P-Q^{2}+QV\right)$$

Solve for P

$$P=-\left(-Q\left(Q-V\right)+F\right)$$

$$Q\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by Q.

$$QQ-\left(P+F\right)\times 1=VQ$$

Multiply Q and Q to get Q^{2}.

$$Q^{2}-\left(P+F\right)\times 1=VQ$$

Use the distributive property to multiply P+F by 1.

$$Q^{2}-\left(P+F\right)=VQ$$

To find the opposite of P+F, find the opposite of each term.

$$Q^{2}-P-F=VQ$$

Subtract Q^{2} from both sides.

$$-P-F=VQ-Q^{2}$$

Add F to both sides.

$$-P=VQ-Q^{2}+F$$

The equation is in standard form.

$$-P=F-Q^{2}+QV$$

Divide both sides by -1.

$$\frac{-P}{-1}=\frac{F-Q^{2}+QV}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$P=\frac{F-Q^{2}+QV}{-1}$$

Divide VQ-Q^{2}+F by -1.

$$P=-\left(F-Q^{2}+QV\right)$$