Solve 3(2)^2(3)(-5)/2(3)-3(-5)

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

Evaluate

$$-\frac{60}{7}\approx -8.571428571$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{3\times 4\times 3\left(-5\right)}{2\times 3-3\left(-5\right)}$$

Multiply 3 and 4 to get 12.

$$\frac{12\times 3\left(-5\right)}{2\times 3-3\left(-5\right)}$$

Multiply 12 and 3 to get 36.

$$\frac{36\left(-5\right)}{2\times 3-3\left(-5\right)}$$

Multiply 36 and -5 to get -180.

$$\frac{-180}{2\times 3-3\left(-5\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{-180}{6-3\left(-5\right)}$$

Multiply 3 and -5 to get -15.

$$\frac{-180}{6-\left(-15\right)}$$

The opposite of -15 is 15.

$$\frac{-180}{6+15}$$

Add 6 and 15 to get 21.

$$\frac{-180}{21}$$

Reduce the fraction \frac{-180}{21} to lowest terms by extracting and canceling out 3.

$$-\frac{60}{7}$$

Factor

$$-\frac{60}{7} = -8\frac{4}{7} = -8.571428571428571$$