What is the answer to 1+|5+4x|=4 ?

The answer to 1+|5+4x|=4 is x=-2\lor x=-1/2

Solve for x: 1+|5+4x|=4

The solution is x=-2\lor x=-1/2

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1 + ∣ 5 + 4 x ∣ = 4

x = - 2 or x = - \frac{1}{2}

Decimal Notation

x = - 2, x = - 0.5

Solution steps

1 + ∣ 5 + 4 x ∣ = 4

Move

1

to the right side

∣ 5 + 4 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 + 4 x = - 3 or 5 + 4 x = 3

5 + 4 x = - 3 or 5 + 4 x = 3

x = - 2 or x = - \frac{1}{2}

7 = \frac{x}{6}

∣ 13 + 4 y ∣ = 15

6 - ∣ 5 x + 6 ∣ = 4

6 - ∣ 4 - 4 x ∣ = - 6

∣ f + 10 ∣ = 1