What is the answer to 2|8t+4|+5=14 ?

The answer to 2|8t+4|+5=14 is t=-17/16 \lor t= 1/16

Solve for t: 2|8t+4|+5=14

The solution is t=-17/16 \lor t= 1/16

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2 ∣ 8 t + 4 ∣ + 5 = 14

t = - \frac{17}{16} or t = \frac{1}{16}

Decimal Notation

t = - 1.0625, t = 0.0625

Solution steps

2 ∣ 8 t + 4 ∣ + 5 = 14

Move

5

to the right side

2 ∣ 8 t + 4 ∣ = 9

Divide both sides by

2

∣ 8 t + 4 ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 t + 4 = - \frac{9}{2} or 8 t + 4 = \frac{9}{2}

8 t + 4 = - \frac{9}{2} or 8 t + 4 = \frac{9}{2}

t = - \frac{17}{16} or t = \frac{1}{16}

∣ x + 7 ∣ = 9

∣ x + 7 ∣ = 5

- 2 ∣ 3 x - 6 ∣ + 5 = 1

- 4 x - 2 = ∣ 6 x + 20 ∣

∣ 2 - 9 p ∣ = 25

What is the answer to 2|8t+4|+5=14 ?
The answer to 2|8t+4|+5=14 is t=-17/16 \lor t= 1/16
Solve for t: 2|8t+4|+5=14
The solution is t=-17/16 \lor t= 1/16