What is the answer to |7r-6|=|8r+2| ?

The answer to |7r-6|=|8r+2| is r=-8\lor r= 4/15

Solve for r: |7r-6|=|8r+2|

The solution is r=-8\lor r= 4/15

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∣ 7 r - 6 ∣ = ∣ 8 r + 2 ∣

r = - 8 or r = \frac{4}{15}

Decimal Notation

r = - 8, r = 0.26666 \dots

Solution steps

∣ 7 r - 6 ∣ = ∣ 8 r + 2 ∣

Find positive and negative intervals

r < - \frac{1}{4}, - \frac{1}{4} \leq r < \frac{6}{7}, r \geq \frac{6}{7}

Solve the inequality for each interval

r = - 8 or r = \frac{4}{15} or No Solution

r = - 8 or r = \frac{4}{15}

20 x^{2} - 56 x + 15 = 0

3000 = 85 x + 150 + 100 + 150

∣ 4 x - 4 ∣ < 8

∣ 2 x - 3 ∣ \leq 1.7

\frac{6 ^{- 6}}{6 ^{- 5}}

What is the answer to |7r-6|=|8r+2| ?
The answer to |7r-6|=|8r+2| is r=-8\lor r= 4/15
Solve for r: |7r-6|=|8r+2|
The solution is r=-8\lor r= 4/15