What is the answer to 3|2x-3|=9 ?

The answer to 3|2x-3|=9 is x=0\lor x=3

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3|2x-3|=9

3 ∣ 2 x - 3 ∣ = 9

x = 0 or x = 3

Solution steps

3 ∣ 2 x - 3 ∣ = 9

Divide both sides by

3

∣ 2 x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 3 or 2 x - 3 = 3

2 x - 3 = - 3 or 2 x - 3 = 3

x = 0 or x = 3

3 p^{2} + p - 10

x^{3} - 81 x \geq 0

x^{2} - 18 x + 80 < 0

3 x - 9 \leq 12 and 3 x - 9 \geq - 3

5 x^{2} - 17 x + 6 = 0