What is the answer to -1/2 |x+3|+4=0 ?

The answer to -1/2 |x+3|+4=0 is x=-11\lor x=5

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-1/2 |x+3|+4=0

- \frac{1}{2} ∣ x + 3 ∣ + 4 = 0

x = - 11 or x = 5

Solution steps

- \frac{1}{2} ∣ x + 3 ∣ + 4 = 0

Move

4

to the right side

- \frac{1}{2} ∣ x + 3 ∣ = - 4

Multiply both sides by

- 2

∣ x + 3 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 8 or x + 3 = 8

x + 3 = - 8 or x + 3 = 8

x = - 11 or x = 5

∣ x + 4 ∣ = 1 - \frac{3}{4} x^{2}

∣ x - 3 ∣^{2} + ∣ x - 3 ∣ = 12

∣ 3 x - 5 ∣ = - 1

∣ 6 - x ∣ = 29

∣ 18 - 5 x ∣ = \frac{3}{4}

What is the answer to -1/2 |x+3|+4=0 ?
The answer to -1/2 |x+3|+4=0 is x=-11\lor x=5
Solve for x: -1/2 |x+3|+4=0
The solution is x=-11\lor x=5