What is the answer to 4-2|3b+4|=-7 ?

The answer to 4-2|3b+4|=-7 is b=-19/6 \lor b= 1/2

Solve for b: 4-2|3b+4|=-7

The solution is b=-19/6 \lor b= 1/2

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4 - 2 ∣ 3 b + 4 ∣ = - 7

b = - \frac{19}{6} or b = \frac{1}{2}

Decimal

b = - 3.16666 \dots, b = 0.5

Solution steps

4 - 2 ∣ 3 b + 4 ∣ = - 7

Move

4

to the right side

- 2 ∣ 3 b + 4 ∣ = - 11

Divide both sides by

- 2

∣ 3 b + 4 ∣ = \frac{11}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 b + 4 = - \frac{11}{2} or 3 b + 4 = \frac{11}{2}

3 b + 4 = - \frac{11}{2} or 3 b + 4 = \frac{11}{2}

b = - \frac{19}{6} or b = \frac{1}{2}

x^{2} = ∣ x ∣ + 2

∣ 6 - 2 x ∣ = 12

15 - 2 ∣ a ∣ = - 9

\frac{x + 2}{5} = \frac{1}{15}

∣ 3 - 4 x ∣ = 3

What is the answer to 4-2|3b+4|=-7 ?
The answer to 4-2|3b+4|=-7 is b=-19/6 \lor b= 1/2
Solve for b: 4-2|3b+4|=-7
The solution is b=-19/6 \lor b= 1/2