What is the answer to |4q+9|=|2q-1| ?

The answer to |4q+9|=|2q-1| is q=-5\lor q=-4/3

Solve for q: |4q+9|=|2q-1|

The solution is q=-5\lor q=-4/3

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∣ 4 q + 9 ∣ = ∣ 2 q - 1 ∣

q = - 5 or q = - \frac{4}{3}

Decimal

q = - 5, q = - 1.33333 \dots

Solution steps

∣ 4 q + 9 ∣ = ∣ 2 q - 1 ∣

Find positive and negative intervals

q < - \frac{9}{4}, - \frac{9}{4} \leq q < \frac{1}{2}, q \geq \frac{1}{2}

Solve the inequality for each interval

q = - 5 or q = - \frac{4}{3} or No Solution

q = - 5 or q = - \frac{4}{3}

3 ∣ x + 2 ∣ + 6 = 30

∣ 5 - x ∣ = ∣ x + 4 ∣

\frac{n}{4} = 1

4 ∣ 4 - x ∣ = 16

∣ 2 x - 5 ∣ = 3 x + 1

What is the answer to |4q+9|=|2q-1| ?
The answer to |4q+9|=|2q-1| is q=-5\lor q=-4/3
Solve for q: |4q+9|=|2q-1|
The solution is q=-5\lor q=-4/3