Solve 6(-5)-1/(-5)^2-2(-5)-63

$$\frac { 6 ( - 5 ) - 1 } { ( - 5 ) ^ { 2 } - 2 ( - 5 ) - 63 }$$

Evaluate

$$\frac{31}{28}\approx 1.107142857$$

Solution Steps

Multiply 6 and -5 to get -30.

$$\frac{-30-1}{\left(-5\right)^{2}-2\left(-5\right)-63}$$

Subtract 1 from -30 to get -31.

$$\frac{-31}{\left(-5\right)^{2}-2\left(-5\right)-63}$$

Calculate -5 to the power of 2 and get 25.

$$\frac{-31}{25-2\left(-5\right)-63}$$

Multiply 2 and -5 to get -10.

$$\frac{-31}{25-\left(-10\right)-63}$$

The opposite of -10 is 10.

$$\frac{-31}{25+10-63}$$

Add 25 and 10 to get 35.

$$\frac{-31}{35-63}$$

Subtract 63 from 35 to get -28.

$$\frac{-31}{-28}$$

Fraction \frac{-31}{-28} can be simplified to \frac{31}{28} by removing the negative sign from both the numerator and the denominator.

$$\frac{31}{28}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 7} = 1\frac{3}{28} = 1.1071428571428572$$