Solve 3^2+5^2-7^2/2*3*5

$$\frac { 3 ^ { 2 } + 5 ^ { 2 } - 7 ^ { 2 } } { 2 \times 3 \times 5 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9+5^{2}-7^{2}}{2\times 3\times 5}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{9+25-7^{2}}{2\times 3\times 5}$$

Add 9 and 25 to get 34.

$$\frac{34-7^{2}}{2\times 3\times 5}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{34-49}{2\times 3\times 5}$$

Subtract 49 from 34 to get -15.

$$\frac{-15}{2\times 3\times 5}$$

Multiply 2 and 3 to get 6.

$$\frac{-15}{6\times 5}$$

Multiply 6 and 5 to get 30.

$$\frac{-15}{30}$$

Reduce the fraction \frac{-15}{30} to lowest terms by extracting and canceling out 15.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$