What is the answer to 4-|3x+6|=1 ?

The answer to 4-|3x+6|=1 is x=-3\lor x=-1

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4-|3x+6|=1

4 - ∣ 3 x + 6 ∣ = 1

x = - 3 or x = - 1

Solution steps

4 - ∣ 3 x + 6 ∣ = 1

Move

4

to the right side

- ∣ 3 x + 6 ∣ = - 3

Divide both sides by

- 1

∣ 3 x + 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 6 = - 3 or 3 x + 6 = 3

3 x + 6 = - 3 or 3 x + 6 = 3

x = - 3 or x = - 1

5 x^{2} + 500 = 0

x + 7 = 27

2 x^{4} - 28 x^{3} + 90 x^{2}

X^{4} - X^{3} + X^{2} - X

u^{2} = 81