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

The answer to |2(x-3)(x+5)|=2 is x=-1-sqrt(17)\lor x=-1-sqrt(15)\lor x=-1+sqrt(15)\lor x=-1+sqrt(17)

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

The solution is x=-1-sqrt(17)\lor x=-1-sqrt(15)\lor x=-1+sqrt(15)\lor x=-1+sqrt(17)

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∣ 2 (x - 3) (x + 5) ∣ = 2

x = - 1 - 17 or x = - 1 - 15 or x = - 1 + 15 or x = - 1 + 17

Decimal Notation

x = - 5.12310 \dots, x = - 4.87298 \dots, x = 2.87298 \dots, x = 3.12310 \dots

Solution steps

∣ 2 (x - 3) (x + 5) ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x - 3) (x + 5) = - 2 or 2 (x - 3) (x + 5) = 2

2 (x - 3) (x + 5) = - 2 or 2 (x - 3) (x + 5) = 2

(x = - 1 - 15 or x = - 1 + 15) or (x = - 1 - 17 or x = - 1 + 17)

x = - 1 - 17 or x = - 1 - 15 or x = - 1 + 15 or x = - 1 + 17

5 - ∣ 4 - x ∣ = - 2

x^{2} - 1 = x + 1

∣ w - 40 ∣ = - 100

∣ j - 5 ∣ = j + 9

∣ 6 x - 2 ∣ = 0

What is the answer to |2(x-3)(x+5)|=2 ?
The answer to |2(x-3)(x+5)|=2 is x=-1-sqrt(17)\lor x=-1-sqrt(15)\lor x=-1+sqrt(15)\lor x=-1+sqrt(17)
Solve for x: |2(x-3)(x+5)|=2
The solution is x=-1-sqrt(17)\lor x=-1-sqrt(15)\lor x=-1+sqrt(15)\lor x=-1+sqrt(17)