What is 3(2n+36)+2(n+5/2) ?

The solution to 3(2n+36)+2(n+5/2) is 8n+113

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simplify 3(2n+36)+2(n+5/2)

simplify

3 (2 n + 36) + 2 (n + \frac{5}{2})

8 n + 113

Solution steps

3 (2 n + 36) + 2 (n + \frac{5}{2})

Simplify

n + \frac{5}{2} : \frac{2 n + 5}{2}

= 3 (2 n + 36) + 2 \cdot \frac{2 n + 5}{2}

Expand

3 (2 n + 36) : 6 n + 108

= 6 n + 108 + 2 \cdot \frac{2 n + 5}{2}

Cross-cancel common factor:

2

= 6 n + 108 + 2 n + 5

Group like terms

= 6 n + 2 n + 108 + 5

Add similar elements:

6 n + 2 n = 8 n

= 8 n + 108 + 5

Add the numbers:

108 + 5 = 113

= 8 n + 113

- 8 x^{2} - 5 x - 2 = 0

5 x - 6 x - 5 = - 7 x

2.5 - 0.25 x = - 3

2 x + 4 = 5 x - 11

(8 x + 7)^{2} < 0