What is the answer to 9-2|4x-2|=-3 ?

The answer to 9-2|4x-2|=-3 is x=-1\lor x=2

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9-2|4x-2|=-3

9 - 2 ∣ 4 x - 2 ∣ = - 3

x = - 1 or x = 2

Solution steps

9 - 2 ∣ 4 x - 2 ∣ = - 3

Move

9

to the right side

- 2 ∣ 4 x - 2 ∣ = - 12

Divide both sides by

- 2

∣ 4 x - 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 2 = - 6 or 4 x - 2 = 6

4 x - 2 = - 6 or 4 x - 2 = 6

x = - 1 or x = 2

∣ 2 x + 1 ∣ = ∣ 3 x - 3 ∣

1 - ∣ x ∣ = 0

x + ∣ x ∣ - 4 = 0

∣ 3 x - 2 ∣ = 19

x^{2} + 6 x + 8 = 0