What is the answer to 4|2(x+3)(x-3)|+4=76 ?

The answer to 4|2(x+3)(x-3)|+4=76 is x=-3sqrt(2)\lor x=0\lor x=3sqrt(2)

Solve for x: 4|2(x+3)(x-3)|+4=76

The solution is x=-3sqrt(2)\lor x=0\lor x=3sqrt(2)

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4 ∣ 2 (x + 3) (x - 3) ∣ + 4 = 76

x = - 32 or x = 0 or x = 32

Decimal Notation

x = - 4.24264 \dots, x = 0, x = 4.24264 \dots

Solution steps

4 ∣ 2 (x + 3) (x - 3) ∣ + 4 = 76

Move

4

to the right side

4 ∣ 2 (x + 3) (x - 3) ∣ = 72

Divide both sides by

4

∣ 2 (x + 3) (x - 3) ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x + 3) (x - 3) = - 18 or 2 (x + 3) (x - 3) = 18

2 (x + 3) (x - 3) = - 18 or 2 (x + 3) (x - 3) = 18

x = 0 or (x = - 32 or x = 32)

x = - 32 or x = 0 or x = 32

∣ 4 x - 4 ∣ - 5 = 7

2 ∣ 3 x + 1 ∣ - 4 = 6

- 4 ∣ x - 10 ∣ + 5 = 5

∣ 3 x - 4 ∣ - 5 = 3

4 = ∣ m - 3 ∣

What is the answer to 4|2(x+3)(x-3)|+4=76 ?
The answer to 4|2(x+3)(x-3)|+4=76 is x=-3sqrt(2)\lor x=0\lor x=3sqrt(2)
Solve for x: 4|2(x+3)(x-3)|+4=76
The solution is x=-3sqrt(2)\lor x=0\lor x=3sqrt(2)