What is the answer to 3/2 |4r-4|-24=-21 ?

The answer to 3/2 |4r-4|-24=-21 is r= 1/2 \lor r= 3/2

Solve for r: 3/2 |4r-4|-24=-21

The solution is r= 1/2 \lor r= 3/2

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\frac{3}{2} ∣ 4 r - 4 ∣ - 24 = - 21

r = \frac{1}{2} or r = \frac{3}{2}

Decimal

r = 0.5, r = 1.5

Solution steps

\frac{3}{2} ∣ 4 r - 4 ∣ - 24 = - 21

Move

24

to the right side

\frac{3}{2} ∣ 4 r - 4 ∣ = 3

Multiply both sides by

2

3 ∣ 4 r - 4 ∣ = 6

Divide both sides by

3

∣ 4 r - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 r - 4 = - 2 or 4 r - 4 = 2

4 r - 4 = - 2 or 4 r - 4 = 2

r = \frac{1}{2} or r = \frac{3}{2}

x^{2} = ∣ x - 4 ∣ ∣ x - 1 ∣

12 ∣ 2 x ∣ = 108

∣ 4 x + 3 ∣ = 6 - x

∣ 2 m - 2 ∣ - 6 = 10

\frac{3}{2} ∣ x ∣ + 7 = 16

What is the answer to 3/2 |4r-4|-24=-21 ?
The answer to 3/2 |4r-4|-24=-21 is r= 1/2 \lor r= 3/2
Solve for r: 3/2 |4r-4|-24=-21
The solution is r= 1/2 \lor r= 3/2