The solution to -3/2 (2)+1 is -2

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-3/2 (2)+1

Solution

- \frac{3}{2} (2) + 1

- 2

Solution steps

- \frac{3}{2} (2) + 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{3}{2} (2) : - 3

- \frac{3}{2} (2)

Apply rule:

(a) = a

(2) = 2

= - \frac{3}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{3}{2} \cdot \frac{2}{1}

Cross-cancel common factor:

2

= - \frac{3}{1}

Divide the numbers:

\frac{3}{1} = 3

= - 3

= - 3 + 1

Add and subtract (left to right)

- 3 + 1 : - 2

- 3 + 1

- 3 + 1 = - 2

= - 2

= - 2

- \frac{3}{2} (2) + 4

- [- (- 5 + 6) - (- 4 + 5)]

(- 6) + 5 \times 4 - 8

- (- 2)^{2} - 6 (- 2) + 1

3 - (13 + 1)^{2}