What is the answer to 1/2 |x+3|=6 ?

The answer to 1/2 |x+3|=6 is x=-15\lor x=9

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1/2 |x+3|=6

\frac{1}{2} ∣ x + 3 ∣ = 6

x = - 15 or x = 9

Solution steps

\frac{1}{2} ∣ x + 3 ∣ = 6

Multiply both sides by

2

∣ x + 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 12 or x + 3 = 12

x + 3 = - 12 or x + 3 = 12

x = - 15 or x = 9

7 ∣ x - 4 ∣ = 12

2 ∣ 3 x - 7 ∣ + 11 = 19

∣ 5 + 8 x ∣ = 53

∣ x ∣ = - 18

x^{2} - 4 ∣ x - 1 ∣ + 5 x + 3 = 0