Solve 1r25Q=250-25Q

$$1r25Q = 250-25Q$$

Solve for Q

$$Q=\frac{250}{r_{25}+25}$$

$$r_{25}\neq -25$$

Steps for Solving Linear Equation

Add 25Q to both sides.

$$1r_{25}Q+25Q=250$$

Reorder the terms.

$$Qr_{25}+25Q=250$$

Combine all terms containing Q.

$$\left(r_{25}+25\right)Q=250$$

Divide both sides by r_{25}+25.

$$\frac{\left(r_{25}+25\right)Q}{r_{25}+25}=\frac{250}{r_{25}+25}$$

Dividing by r_{25}+25 undoes the multiplication by r_{25}+25.

$$Q=\frac{250}{r_{25}+25}$$

Solve for r_25

$$r_{25}=-25+\frac{250}{Q}$$

$$Q\neq 0$$

Steps for Solving Linear Equation

Reorder the terms.

$$Qr_{25}=-25Q+250$$

The equation is in standard form.

$$Qr_{25}=250-25Q$$

Divide both sides by Q.

$$\frac{Qr_{25}}{Q}=\frac{250-25Q}{Q}$$

Dividing by Q undoes the multiplication by Q.

$$r_{25}=\frac{250-25Q}{Q}$$

Divide 250-25Q by Q.

$$r_{25}=-25+\frac{250}{Q}$$