What is the answer to 3|4x+5|=51 ?

The answer to 3|4x+5|=51 is x=-11/2 \lor x=3

Solve for x: 3|4x+5|=51

The solution is x=-11/2 \lor x=3

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3 ∣ 4 x + 5 ∣ = 51

x = - \frac{11}{2} or x = 3

Decimal Notation

x = - 5.5, x = 3

Solution steps

3 ∣ 4 x + 5 ∣ = 51

Divide both sides by

3

∣ 4 x + 5 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 5 = - 17 or 4 x + 5 = 17

4 x + 5 = - 17 or 4 x + 5 = 17

x = - \frac{11}{2} or x = 3

ln y - x^{2} = 0

ln y - x^{2} = 2

4 ∣ x + 1 ∣ + 6 = 12

- 4 ∣ 8 - 5 n ∣ = 13, 20

3 = ∣ u + 4 ∣ - 9