What is the answer to 5|(x-3)(x-9)|-4=131 ?

The answer to 5|(x-3)(x-9)|-4=131 is x=0\lor x=12

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5|(x-3)(x-9)|-4=131

5 ∣ (x - 3) (x - 9) ∣ - 4 = 131

x = 0 or x = 12

Solution steps

5 ∣ (x - 3) (x - 9) ∣ - 4 = 131

Move

4

to the right side

5 ∣ (x - 3) (x - 9) ∣ = 135

Divide both sides by

5

∣ (x - 3) (x - 9) ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

(x - 3) (x - 9) = - 27 or (x - 3) (x - 9) = 27

(x - 3) (x - 9) = - 27 or (x - 3) (x - 9) = 27

No Solution or (x = 0 or x = 12)

x = 0 or x = 12

∣ - 8 x ∣ = 40

∣ z - 2 ∣ = 1

∣ z - 2 ∣ = 0

∣ 6 x - 6 ∣ = 6

∣ x - 6 ∣ = \frac{x}{2}

What is the answer to 5|(x-3)(x-9)|-4=131 ?
The answer to 5|(x-3)(x-9)|-4=131 is x=0\lor x=12
Solve for x: 5|(x-3)(x-9)|-4=131
The solution is x=0\lor x=12