What is the answer to 500=|5q-500| ?

The answer to 500=|5q-500| is q=0\lor q=200

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500=|5q-500|

500 = ∣ 5 q - 500 ∣

q = 0 or q = 200

Solution steps

500 = ∣ 5 q - 500 ∣

Switch sides

∣ 5 q - 500 ∣ = 500

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 q - 500 = - 500 or 5 q - 500 = 500

5 q - 500 = - 500 or 5 q - 500 = 500

q = 0 or q = 200

∣ x + 7 ∣ = \frac{1}{2}

∣ y + 2 ∣ + 4 = 7

- ∣ x + 1 ∣ + 2 = 0

- ∣ x + 3 ∣ = - 4

\frac{m}{7} + 1 = 0

What is the answer to 500=|5q-500| ?
The answer to 500=|5q-500| is q=0\lor q=200
Solve for q: 500=|5q-500|
The solution is q=0\lor q=200