What is the answer to |-2x^2-8x|=10 ?

The answer to |-2x^2-8x|=10 is x=-5\lor x=1

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|-2x^2-8x|=10

- 2 x^{2} - 8 x = 10

x = - 5 or x = 1

Solution steps

- 2 x^{2} - 8 x = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x^{2} - 8 x = - 10 or - 2 x^{2} - 8 x = 10

- 2 x^{2} - 8 x = - 10 or - 2 x^{2} - 8 x = 10

(x = - 5 or x = 1) or No Solution

x = - 5 or x = 1

∣ x - 3 ∣ = ∣ 2 x - 1 ∣

∣ 2 x - 3 ∣ + ∣ 2 x + 1 ∣ + ∣ 2 x + 5 ∣ = 12

5 ∣ x + 3 ∣ - 1 = 6

∣ 2 x - 3 ∣ - x^{2} - 4 x + 3 = x^{2} - 2 x

x^{2} - x + ∣ x + 1 ∣ = 5

What is the answer to |-2x^2-8x|=10 ?
The answer to |-2x^2-8x|=10 is x=-5\lor x=1
Solve for x: |-2x^2-8x|=10
The solution is x=-5\lor x=1