What is the answer to 30=[|10+4b|] ?

The answer to 30=[|10+4b|] is b=-10\lor b=5

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30=[|10+4b|]

30 = [∣ 10 + 4 b ∣]

b = - 10 or b = 5

Solution steps

30 = [∣ 10 + 4 b ∣]

Switch sides

[∣ 10 + 4 b ∣] = 30

∣ 10 + 4 b ∣ = 30

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 + 4 b = - 30 or 10 + 4 b = 30

10 + 4 b = - 30 or 10 + 4 b = 30

b = - 10 or b = 5

∣ 6 x - 1 ∣ = 49

∣ x ∣ = - 3 x + 1

∣ w - 5 ∣ + 9 = 22

49 = ∣ u + 7 ∣

∣ - 14 x + 4 ∣ + 7 = 2

What is the answer to 30=[|10+4b|] ?
The answer to 30=[|10+4b|] is b=-10\lor b=5
Solve for b: 30=[|10+4b|]
The solution is b=-10\lor b=5