Solve 900left(90-T2right)=16800left(T2-25right)

$$900 \left( 90-T2 \right) = 16800 \left( T2-25 \right)$$

Solve for T_2

$$T_{2} = \frac{1670}{59} = 28\frac{18}{59} \approx 28.305084746$$

Steps for Solving Linear Equation

Use the distributive property to multiply 900 by 90-T_{2}.

$$81000-900T_{2}=16800\left(T_{2}-25\right)$$

Use the distributive property to multiply 16800 by T_{2}-25.

$$81000-900T_{2}=16800T_{2}-420000$$

Subtract 16800T_{2} from both sides.

$$81000-900T_{2}-16800T_{2}=-420000$$

Combine -900T_{2} and -16800T_{2} to get -17700T_{2}.

$$81000-17700T_{2}=-420000$$

Subtract 81000 from both sides.

$$-17700T_{2}=-420000-81000$$

Subtract 81000 from -420000 to get -501000.

$$-17700T_{2}=-501000$$

Divide both sides by -17700.

$$T_{2}=\frac{-501000}{-17700}$$

Reduce the fraction \frac{-501000}{-17700} to lowest terms by extracting and canceling out -300.

$$T_{2}=\frac{1670}{59}$$