What is the answer to 3|1-2x|-9=0 ?

The answer to 3|1-2x|-9=0 is x=-1\lor x=2

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3|1-2x|-9=0

3 ∣ 1 - 2 x ∣ - 9 = 0

x = - 1 or x = 2

Solution steps

3 ∣ 1 - 2 x ∣ - 9 = 0

Move

9

to the right side

3 ∣ 1 - 2 x ∣ = 9

Divide both sides by

3

∣ 1 - 2 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 2 x = - 3 or 1 - 2 x = 3

1 - 2 x = - 3 or 1 - 2 x = 3

x = - 1 or x = 2

∣ 3 (x - 4) ∣ = 9

∣ 2 (x - 2) ∣ = \frac{5}{2}

∣ x + 1 ∣ = 5

x^{2} - x + 1 + ∣ 2 x - 3 ∣ = 4 x

(- x^{2} + x - 1) 3 + x^{2} - x + 1 = 0