What is the answer to 3|4x-9|=12 ?

The answer to 3|4x-9|=12 is x= 5/4 \lor x= 13/4

Solve for x: 3|4x-9|=12

The solution is x= 5/4 \lor x= 13/4

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3 ∣ 4 x - 9 ∣ = 12

x = \frac{5}{4} or x = \frac{13}{4}

Decimal Notation

x = 1.25, x = 3.25

Solution steps

3 ∣ 4 x - 9 ∣ = 12

Divide both sides by

3

∣ 4 x - 9 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 9 = - 4 or 4 x - 9 = 4

4 x - 9 = - 4 or 4 x - 9 = 4

x = \frac{5}{4} or x = \frac{13}{4}

- 2 ∣ 2 x + 6 ∣ = - 8

∣ - 6 + x ∣ = 9

∣ 3 x - 1 ∣ = 2 x + 2

x^{2} - ∣ x ∣ - 12 = 0

∣ 5 - 2 x ∣ = 1818

What is the answer to 3|4x-9|=12 ?
The answer to 3|4x-9|=12 is x= 5/4 \lor x= 13/4
Solve for x: 3|4x-9|=12
The solution is x= 5/4 \lor x= 13/4