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

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

Evaluate

$$-\frac{189}{2}=-94.5$$

Solution Steps

Cancel out -3^{2}-2 in both numerator and denominator.

$$\frac{21}{2}\times 3\left(-3\right)$$

Express \frac{21}{2}\times 3 as a single fraction.

$$\frac{21\times 3}{2}\left(-3\right)$$

Multiply 21 and 3 to get 63.

$$\frac{63}{2}\left(-3\right)$$

Express \frac{63}{2}\left(-3\right) as a single fraction.

$$\frac{63\left(-3\right)}{2}$$

Multiply 63 and -3 to get -189.

$$\frac{-189}{2}$$

Fraction \frac{-189}{2} can be rewritten as -\frac{189}{2} by extracting the negative sign.

$$-\frac{189}{2}$$

Factor

$$-\frac{189}{2} = -94\frac{1}{2} = -94.5$$