What is 3-2(9/(-2)-5) ?

The solution to 3-2(9/(-2)-5) is 22

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3-2(9/(-2)-5)

3 - 2 (\frac{9}{- 2} - 5)

22

Solution steps

3 - 2 (\frac{9}{- 2} - 5)

Apply the fraction rule

\frac{a}{- b} = - \frac{a}{b}

- \frac{9}{2}

= 3 - 2 (- \frac{9}{2} - 5)

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{9}{2} - 5) : - \frac{19}{2}

- \frac{9}{2} - 5

- \frac{9}{2} - 5 = - \frac{19}{2}

- \frac{9}{2} - 5

Convert element to fraction:

5 = \frac{5 \cdot 2}{2}

= - \frac{5 \cdot 2}{2} - \frac{9}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 5 \cdot 2 - 9}{2}

- 5 \cdot 2 - 9 = - 19

- 5 \cdot 2 - 9

Multiply the numbers:

5 \cdot 2 = 10

= - 10 - 9

Subtract the numbers:

- 10 - 9 = - 19

= - 19

= \frac{- 19}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{19}{2}

= - \frac{19}{2}

= 3 - 2 (- \frac{19}{2})

Multiply and divide (left to right)

2 (- \frac{19}{2}) : - 19

2 (- \frac{19}{2})

Apply rule

a \cdot (- b) = - a \cdot b

2 (- \frac{19}{2}) = - 2 \cdot \frac{19}{2}

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{2}{1} \cdot \frac{19}{2}

Cross-cancel common factor:

2

= - \frac{19}{1}

Divide the numbers:

\frac{19}{1} = 19

= - 19

= 3 - (- 19)

Add and subtract (left to right)

3 - (- 19) : 22

3 - (- 19)

Apply rule

- (- a) = + a

- (- 19) = + 19

= 3 + 19

3 + 19 = 22

= 22

= 22

- 3^{2} + 3 \times (- 3) - 2

\frac{1}{2} \times 10 \times (15)^{2}

(5 - 1)^{2} - 6

- 5 - 5 - (- 5) + 5 - (- 5 - 5)

5^{5} + 5^{5} + 5^{5} + 5^{5}