What is the answer to 10|-4z|=280 ?

The answer to 10|-4z|=280 is z=-7\lor z=7

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10|-4z|=280

10 ∣ - 4 z ∣ = 280

z = - 7 or z = 7

Solution steps

10 ∣ - 4 z ∣ = 280

Divide both sides by

10

∣ - 4 z ∣ = 28

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 z = - 28 or - 4 z = 28

- 4 z = - 28 or - 4 z = 28

z = - 7 or z = 7

∣ 8 x - 8 ∣ = 9

∣ 3 x - 3 ∣ = 9 x - 9

∣ 6 x - 18 ∣ = 6

2 - ∣ x - 1 ∣ = 2 x - x^{2}

∣ 2 x - 2 ∣ - 8 = - 2