What is the answer to |3x|4+6=9 ?

The answer to |3x|4+6=9 is x=-1/4 \lor x= 1/4

Solve for x: |3x|4+6=9

The solution is x=-1/4 \lor x= 1/4

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∣ 3 x ∣ 4 + 6 = 9

x = - \frac{1}{4} or x = \frac{1}{4}

Decimal Notation

x = - 0.25, x = 0.25

Solution steps

∣ 3 x ∣ \cdot 4 + 6 = 9

Move

6

to the right side

∣ 3 x ∣ \cdot 4 = 3

Divide both sides by

4

∣ 3 x ∣ = \frac{3}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - \frac{3}{4} or 3 x = \frac{3}{4}

3 x = - \frac{3}{4} or 3 x = \frac{3}{4}

x = - \frac{1}{4} or x = \frac{1}{4}

∣ 8 w ∣ = - 16

x, ∣ 3 x + 2 ∣ = 4

- 2 ∣ 5 s - 7 ∣ + 9 = - 7

\frac{∣ x ∣}{2} + 3 = 5

2 ∣ x + 3 ∣ = 9