What is the answer to (|x-2/5 |-1)/6 =(-2/3)^0 ?

The answer to (|x-2/5 |-1)/6 =(-2/3)^0 is x=-33/5 \lor x= 37/5

Solve for x: (|x-2/5 |-1)/6 =(-2/3)^0

The solution is x=-33/5 \lor x= 37/5

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\frac{x - \frac{2}{5} - 1}{6} = (- \frac{2}{3})^{0}

x = - \frac{33}{5} or x = \frac{37}{5}

Decimal Notation

x = - 6.6, x = 7.4

Solution steps

\frac{x - \frac{2}{5} - 1}{6} = (- \frac{2}{3})^{0}

Apply rule

a^{0} = 1, a \neq = 0

\frac{x - \frac{2}{5} - 1}{6} = 1

Multiply both sides by

6

x - \frac{2}{5} - 1 = 6

Move

1

to the right side

x - \frac{2}{5} = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - \frac{2}{5} = - 7 or x - \frac{2}{5} = 7

x - \frac{2}{5} = - 7 or x - \frac{2}{5} = 7

x = - \frac{33}{5} or x = \frac{37}{5}

x, x y = ∣ x - 5 ∣ - 8

∣ x - 1 ∣ + ∣ x - 7 ∣ = 5

∣ x - 1 ∣ + ∣ x - 7 ∣ = 6

∣ 2 x - 3 ∣ = x - 3

4 ∣ x + 44 - 3 x ∣ = 10

What is the answer to (|x-2/5 |-1)/6 =(-2/3)^0 ?
The answer to (|x-2/5 |-1)/6 =(-2/3)^0 is x=-33/5 \lor x= 37/5
Solve for x: (|x-2/5 |-1)/6 =(-2/3)^0
The solution is x=-33/5 \lor x= 37/5