What is the answer to |10a-8|=78 ?

The answer to |10a-8|=78 is a=-7\lor a= 43/5

Solve for a: |10a-8|=78

The solution is a=-7\lor a= 43/5

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∣ 10 a - 8 ∣ = 78

a = - 7 or a = \frac{43}{5}

Decimal Notation

a = - 7, a = 8.6

Solution steps

∣ 10 a - 8 ∣ = 78

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 a - 8 = - 78 or 10 a - 8 = 78

10 a - 8 = - 78 or 10 a - 8 = 78

a = - 7 or a = \frac{43}{5}

∣ 4 x - 6 ∣ = 6

3 ∣ 9 + x ∣ - 16 = 20

∣ m + 8 ∣ = 12

∣ 7 x - 5 ∣ = 9

∣ x - 5 ∣ = 4 x + 4