Solve 30-{5[(6-3)^2+2(sqrt{100}div5)]+30}

$$30 - \{ 5 [ ( 6 - 3 ) ^ { 2 } + 2 ( \sqrt { 100 } \div 5 ) ] + 30 \}$$

Evaluate

$$-65$$

Solution Steps

Subtract 3 from 6 to get 3.

$$30-\left(5\left(3^{2}+2\times \frac{\sqrt{100}}{5}\right)+30\right)$$

Calculate 3 to the power of 2 and get 9.

$$30-\left(5\left(9+2\times \frac{\sqrt{100}}{5}\right)+30\right)$$

Calculate the square root of 100 and get 10.

$$30-\left(5\left(9+2\times \frac{10}{5}\right)+30\right)$$

Divide 10 by 5 to get 2.

$$30-\left(5\left(9+2\times 2\right)+30\right)$$

Multiply 2 and 2 to get 4.

$$30-\left(5\left(9+4\right)+30\right)$$

Add 9 and 4 to get 13.

$$30-\left(5\times 13+30\right)$$

Multiply 5 and 13 to get 65.

$$30-\left(65+30\right)$$

Add 65 and 30 to get 95.

$$30-95$$

Subtract 95 from 30 to get -65.

$$-65$$

Factor

$$-65$$