Solve -24*5^2+3(93-43)^2/2*25*60

$$\frac { - 24 \times 5 ^ { 2 } + 3 ( 93 - 43 ) ^ { 2 } } { 2 \times 25 \times 60 }$$

Evaluate

$$\frac{23}{10}=2.3$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{-24\times 25+3\left(93-43\right)^{2}}{2\times 25\times 60}$$

Multiply -24 and 25 to get -600.

$$\frac{-600+3\left(93-43\right)^{2}}{2\times 25\times 60}$$

Subtract 43 from 93 to get 50.

$$\frac{-600+3\times 50^{2}}{2\times 25\times 60}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{-600+3\times 2500}{2\times 25\times 60}$$

Multiply 3 and 2500 to get 7500.

$$\frac{-600+7500}{2\times 25\times 60}$$

Add -600 and 7500 to get 6900.

$$\frac{6900}{2\times 25\times 60}$$

Multiply 2 and 25 to get 50.

$$\frac{6900}{50\times 60}$$

Multiply 50 and 60 to get 3000.

$$\frac{6900}{3000}$$

Reduce the fraction \frac{6900}{3000} to lowest terms by extracting and canceling out 300.

$$\frac{23}{10}$$

Factor

$$\frac{23}{2 \cdot 5} = 2\frac{3}{10} = 2.3$$