What is the answer to | 3/2 r+2|=|8-3/2 r| ?

The answer to | 3/2 r+2|=|8-3/2 r| is r=2

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| 3/2 r+2|=|8-3/2 r|

\frac{3}{2} r + 2 = 8 - \frac{3}{2} r

r = 2

Solution steps

\frac{3}{2} r + 2 = 8 - \frac{3}{2} r

Find positive and negative intervals

r < - \frac{4}{3}, - \frac{4}{3} \leq r \leq \frac{16}{3}, r > \frac{16}{3}

Solve the inequality for each interval

No Solution or r = 2

r = 2

x^{2} + 10 x + 16 = 0

- 6 y + 13 + 9 y = 8 y - 3

8 x^{2} - 6 x - 9

- x^{2} + 2 x + 1 = 0

x + 16 \leq 25

What is the answer to | 3/2 r+2|=|8-3/2 r| ?
The answer to | 3/2 r+2|=|8-3/2 r| is r=2
Solve for r: | 3/2 r+2|=|8-3/2 r|
The solution is r=2