What is the answer to |4p-9|=6+p ?

The answer to |4p-9|=6+p is p= 3/5 \lor p=5

Solve for p: |4p-9|=6+p

The solution is p= 3/5 \lor p=5

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∣ 4 p - 9 ∣ = 6 + p

p = \frac{3}{5} or p = 5

Decimal Notation

p = 0.6, p = 5

Solution steps

∣ 4 p - 9 ∣ = 6 + p

Find positive and negative intervals

p < \frac{9}{4}, p \geq \frac{9}{4}

Solve the inequality for each interval

p = \frac{3}{5} or p = 5

∣ 2 x - 5 ∣ = x - 7

3 ∣ x - 3 ∣ = 12

a ∣ b x + c ∣ = d

∣ 3 x + 1 ∣ = - 2

∣ d + 1 ∣ = 8