What is the answer to |2-4/5 a|=4 ?

The answer to |2-4/5 a|=4 is a=-5/2 \lor a= 15/2

Solve for a: |2-4/5 a|=4

The solution is a=-5/2 \lor a= 15/2

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2 - \frac{4}{5} a = 4

a = - \frac{5}{2} or a = \frac{15}{2}

Decimal

a = - 2.5, a = 7.5

Solution steps

2 - \frac{4}{5} a = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - \frac{4}{5} a = - 4 or 2 - \frac{4}{5} a = 4

2 - \frac{4}{5} a = - 4 or 2 - \frac{4}{5} a = 4

a = - \frac{5}{2} or a = \frac{15}{2}

∣ 3 x + 6 ∣ + 4 = 25

x, ∣ x ∣ = 1 - 2 x^{2}

\frac{x}{3 - 4} = 3

2 ∣ 5 x - 2 ∣ + 8 = 12

∣ 2 x - 1 ∣ = ∣ 1 - x ∣

What is the answer to |2-4/5 a|=4 ?
The answer to |2-4/5 a|=4 is a=-5/2 \lor a= 15/2
Solve for a: |2-4/5 a|=4
The solution is a=-5/2 \lor a= 15/2