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

The answer to 6-3|4x-9|=-9 is x=1\lor x= 7/2

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6-3|4x-9|=-9

6 - 3 ∣ 4 x - 9 ∣ = - 9

x = 1 or x = \frac{7}{2}

Decimal Notation

x = 1, x = 3.5

Solution steps

6 - 3 ∣ 4 x - 9 ∣ = - 9

Move

6

to the right side

- 3 ∣ 4 x - 9 ∣ = - 15

Divide both sides by

- 3

∣ 4 x - 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 9 = - 5 or 4 x - 9 = 5

4 x - 9 = - 5 or 4 x - 9 = 5

x = 1 or x = \frac{7}{2}

- 14 x > - 3

- 110 = - 8 n - 6 (- 3 n + 5)

- 5 \leq x \leq 9

y^{4} + 1 + 2 y^{2}

10 n^{2} - n - 20610 = 0

What is the answer to 6-3|4x-9|=-9 ?
The answer to 6-3|4x-9|=-9 is x=1\lor x= 7/2
Solve for x: 6-3|4x-9|=-9
The solution is x=1\lor x= 7/2