What is the answer to 3|2(x+4)(x-2)|-5=52 ?

The answer to 3|2(x+4)(x-2)|-5=52 is x=-(2+sqrt(74))/2 \lor x=(-2+sqrt(74))/2

Solve for x: 3|2(x+4)(x-2)|-5=52

The solution is x=-(2+sqrt(74))/2 \lor x=(-2+sqrt(74))/2

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3 ∣ 2 (x + 4) (x - 2) ∣ - 5 = 52

x = - \frac{2 + 74}{2} or x = \frac{- 2 + 74}{2}

Decimal Notation

x = - 5.30116 \dots, x = 3.30116 \dots

Solution steps

3 ∣ 2 (x + 4) (x - 2) ∣ - 5 = 52

Move

5

to the right side

3 ∣ 2 (x + 4) (x - 2) ∣ = 57

Divide both sides by

3

∣ 2 (x + 4) (x - 2) ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x + 4) (x - 2) = - 19 or 2 (x + 4) (x - 2) = 19

2 (x + 4) (x - 2) = - 19 or 2 (x + 4) (x - 2) = 19

No Solution or (x = - \frac{2 + 74}{2} or x = \frac{- 2 + 74}{2})

x = - \frac{2 + 74}{2} or x = \frac{- 2 + 74}{2}

- \frac{8 p}{6} = 2

∣ - 2 x ∣ + 7 = 15

∣ - 7 x + 4 ∣ + 9 = 34

∣ 5 x + 6 ∣ = 41

∣ 4 u ∣ + 6 = 38

What is the answer to 3|2(x+4)(x-2)|-5=52 ?
The answer to 3|2(x+4)(x-2)|-5=52 is x=-(2+sqrt(74))/2 \lor x=(-2+sqrt(74))/2
Solve for x: 3|2(x+4)(x-2)|-5=52
The solution is x=-(2+sqrt(74))/2 \lor x=(-2+sqrt(74))/2