Solve -1^2-3(-1)+6/2(-1-1)

$$\frac{ { -1 }^{ 2 } -3(-1)+6 }{ 2(-1-1) }$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Calculate -1 to the power of 2 and get 1.

$$\frac{1-3\left(-1\right)+6}{2\left(-1-1\right)}$$

Multiply 3 and -1 to get -3.

$$\frac{1-\left(-3\right)+6}{2\left(-1-1\right)}$$

The opposite of -3 is 3.

$$\frac{1+3+6}{2\left(-1-1\right)}$$

Add 1 and 3 to get 4.

$$\frac{4+6}{2\left(-1-1\right)}$$

Add 4 and 6 to get 10.

$$\frac{10}{2\left(-1-1\right)}$$

Subtract 1 from -1 to get -2.

$$\frac{10}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$\frac{10}{-4}$$

Reduce the fraction \frac{10}{-4} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{2}$$

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$