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

The answer to 6=9|9d-9|-3 is d= 8/9 \lor d= 10/9

Solve for d: 6=9|9d-9|-3

The solution is d= 8/9 \lor d= 10/9

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6 = 9 ∣ 9 d - 9 ∣ - 3

d = \frac{8}{9} or d = \frac{10}{9}

Decimal Notation

d = 0.88888 \dots, d = 1.11111 \dots

Solution steps

6 = 9 ∣ 9 d - 9 ∣ - 3

Switch sides

9 ∣ 9 d - 9 ∣ - 3 = 6

Move

3

to the right side

9 ∣ 9 d - 9 ∣ = 9

Divide both sides by

9

∣ 9 d - 9 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 d - 9 = - 1 or 9 d - 9 = 1

9 d - 9 = - 1 or 9 d - 9 = 1

d = \frac{8}{9} or d = \frac{10}{9}

3 [2 x - (x + 3)] = 5 (x - 1)

- 4 x - 7 > 1

2 x^{2} - 14 x + 20 = 0

∣ 4 x - 2 ∣ \geq 10

\frac{x - 8}{x + 7} \geq 0

What is the answer to 6=9|9d-9|-3 ?
The answer to 6=9|9d-9|-3 is d= 8/9 \lor d= 10/9
Solve for d: 6=9|9d-9|-3
The solution is d= 8/9 \lor d= 10/9