What is the answer to 4=|2x+4| ?

The answer to 4=|2x+4| is x=-4\lor x=0

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4=|2x+4|

4 = ∣ 2 x + 4 ∣

x = - 4 or x = 0

Solution steps

4 = ∣ 2 x + 4 ∣

Switch sides

∣ 2 x + 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 4 = - 4 or 2 x + 4 = 4

2 x + 4 = - 4 or 2 x + 4 = 4

x = - 4 or x = 0

5 x^{2} + 24 x - 5

q^{6} - 64

x^{2} + a x + b x + ab

\frac{2 k}{k - 6} + \frac{k ^{3}}{k + 9}

5^{2} + 2^{2} = x^{2}