Solve {(21(-10^2-2))/2(-10^2-5)}3(-10)

$$\{ \frac { ( 21 ( - 10 ^ { 2 } - 2 ) ) } { 2 ( - 10 ^ { 2 } - 5 ) } \} 3 ( - 10 )$$

Evaluate

$$-306$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{21\left(-100-2\right)}{2\left(-10^{2}-5\right)}\times 3\left(-10\right)$$

Subtract 2 from -100 to get -102.

$$\frac{21\left(-102\right)}{2\left(-10^{2}-5\right)}\times 3\left(-10\right)$$

Multiply 21 and -102 to get -2142.

$$\frac{-2142}{2\left(-10^{2}-5\right)}\times 3\left(-10\right)$$

Calculate 10 to the power of 2 and get 100.

$$\frac{-2142}{2\left(-100-5\right)}\times 3\left(-10\right)$$

Subtract 5 from -100 to get -105.

$$\frac{-2142}{2\left(-105\right)}\times 3\left(-10\right)$$

Multiply 2 and -105 to get -210.

$$\frac{-2142}{-210}\times 3\left(-10\right)$$

Reduce the fraction \frac{-2142}{-210} to lowest terms by extracting and canceling out -42.

$$\frac{51}{5}\times 3\left(-10\right)$$

Express \frac{51}{5}\times 3 as a single fraction.

$$\frac{51\times 3}{5}\left(-10\right)$$

Multiply 51 and 3 to get 153.

$$\frac{153}{5}\left(-10\right)$$

Express \frac{153}{5}\left(-10\right) as a single fraction.

$$\frac{153\left(-10\right)}{5}$$

Multiply 153 and -10 to get -1530.

$$\frac{-1530}{5}$$

Divide -1530 by 5 to get -306.

$$-306$$

Factor

$$-306$$