What is the answer to |7a+2|-8=8 ?

The answer to |7a+2|-8=8 is a=-18/7 \lor a=2

Solve for a: |7a+2|-8=8

The solution is a=-18/7 \lor a=2

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∣ 7 a + 2 ∣ - 8 = 8

a = - \frac{18}{7} or a = 2

Solution steps

∣ 7 a + 2 ∣ - 8 = 8

Move

8

to the right side

∣ 7 a + 2 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 a + 2 = - 16 or 7 a + 2 = 16

7 a + 2 = - 16 or 7 a + 2 = 16

a = - \frac{18}{7} or a = 2

57 = \frac{1}{2} D + 12

(5 - \frac{17}{3}) \cdot \frac{9}{4}

3 x^{2} - 42 x + 147 = 0

x + 1 > 0

a^{2} - 2 a - 3