What is the answer to 2/5 |4x-3|-9=-1 ?

The answer to 2/5 |4x-3|-9=-1 is x=-17/4 \lor x= 23/4

Solve for x: 2/5 |4x-3|-9=-1

The solution is x=-17/4 \lor x= 23/4

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\frac{2}{5} ∣ 4 x - 3 ∣ - 9 = - 1

x = - \frac{17}{4} or x = \frac{23}{4}

Decimal

x = - 4.25, x = 5.75

Solution steps

\frac{2}{5} ∣ 4 x - 3 ∣ - 9 = - 1

Move

9

to the right side

\frac{2}{5} ∣ 4 x - 3 ∣ = 8

Multiply both sides by

5

2 ∣ 4 x - 3 ∣ = 40

Divide both sides by

2

∣ 4 x - 3 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 20 or 4 x - 3 = 20

4 x - 3 = - 20 or 4 x - 3 = 20

x = - \frac{17}{4} or x = \frac{23}{4}

x, ∣ 8 - 2 x ∣ = 16

- 8 ∣ 10 n ∣ = 0

∣ 3 x ∣ + 6 + 4 = 25

∣ 2 x + 1 ∣ = 3 x - 2

x^{2} - 3 x = 0

What is the answer to 2/5 |4x-3|-9=-1 ?
The answer to 2/5 |4x-3|-9=-1 is x=-17/4 \lor x= 23/4
Solve for x: 2/5 |4x-3|-9=-1
The solution is x=-17/4 \lor x= 23/4