What is the answer to |8w+5|=21 ?

The answer to |8w+5|=21 is w=-13/4 \lor w=2

Solve for w: |8w+5|=21

The solution is w=-13/4 \lor w=2

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∣ 8 w + 5 ∣ = 21

w = - \frac{13}{4} or w = 2

Decimal Notation

w = - 3.25, w = 2

Solution steps

∣ 8 w + 5 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 w + 5 = - 21 or 8 w + 5 = 21

8 w + 5 = - 21 or 8 w + 5 = 21

w = - \frac{13}{4} or w = 2

25 - x^{2} = x^{2} - 25

∣ - c + 14 ∣ = 17

∣ z ∣ = 2

37 = ∣ 4 x - 9 ∣

∣ 3 x + 6 ∣ + 6 = 5 x