What is the answer to 9|-4n+5|+1=64 ?

The answer to 9|-4n+5|+1=64 is n=-1/2 \lor n=3

Solve for n: 9|-4n+5|+1=64

The solution is n=-1/2 \lor n=3

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9 ∣ - 4 n + 5 ∣ + 1 = 64

n = - \frac{1}{2} or n = 3

Decimal Notation

n = - 0.5, n = 3

Solution steps

9 ∣ - 4 n + 5 ∣ + 1 = 64

Move

1

to the right side

9 ∣ - 4 n + 5 ∣ = 63

Divide both sides by

9

∣ - 4 n + 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 n + 5 = - 7 or - 4 n + 5 = 7

- 4 n + 5 = - 7 or - 4 n + 5 = 7

n = - \frac{1}{2} or n = 3

\frac{∣ 8 k - 1 ∣}{4} = 5

∣ z ∣ = 32

0 = - 8 ∣ p ∣

∣ z ∣ = 12

∣ x ∣ - 7 = - 10

What is the answer to 9|-4n+5|+1=64 ?
The answer to 9|-4n+5|+1=64 is n=-1/2 \lor n=3
Solve for n: 9|-4n+5|+1=64
The solution is n=-1/2 \lor n=3