What is the answer to |4p-5|=|3p+19| ?

The answer to |4p-5|=|3p+19| is p=-2\lor p=24

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|4p-5|=|3p+19|

∣ 4 p - 5 ∣ = ∣ 3 p + 19 ∣

p = - 2 or p = 24

Solution steps

∣ 4 p - 5 ∣ = ∣ 3 p + 19 ∣

Find positive and negative intervals

p < - \frac{19}{3}, - \frac{19}{3} \leq p < \frac{5}{4}, p \geq \frac{5}{4}

Solve the inequality for each interval

No Solution or p = - 2 or p = 24

p = - 2 or p = 24

- 5 - 3 x \leq - 3

x^{2} + 3 = 52

3 x - 15 = \frac{x}{2}

5 x^{2} - 14 x - 3 = 0

3 x + 2 \geq 7 x - 1

What is the answer to |4p-5|=|3p+19| ?
The answer to |4p-5|=|3p+19| is p=-2\lor p=24
Solve for p: |4p-5|=|3p+19|
The solution is p=-2\lor p=24