What is the answer to 5|2(x+5)(x-1)|-3=87 ?

The answer to 5|2(x+5)(x-1)|-3=87 is x=-2-3sqrt(2)\lor x=-2\lor x=-2+3sqrt(2)

Solve for x: 5|2(x+5)(x-1)|-3=87

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

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5 ∣ 2 (x + 5) (x - 1) ∣ - 3 = 87

x = - 2 - 32 or x = - 2 or x = - 2 + 32

Decimal

x = - 6.24264 \dots, x = - 2, x = 2.24264 \dots

Solution steps

5 ∣ 2 (x + 5) (x - 1) ∣ - 3 = 87

Move

3

to the right side

5 ∣ 2 (x + 5) (x - 1) ∣ = 90

Divide both sides by

5

∣ 2 (x + 5) (x - 1) ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x + 5) (x - 1) = - 18 or 2 (x + 5) (x - 1) = 18

2 (x + 5) (x - 1) = - 18 or 2 (x + 5) (x - 1) = 18

x = - 2 or (x = - 2 - 32 or x = - 2 + 32)

x = - 2 - 32 or x = - 2 or x = - 2 + 32

∣ 4 x - 1 ∣ + 6 = x

2 ∣ 4 - x ∣ = - 3

∣ 4 x - 1 ∣ + 6 = 6

1 = ∣ c + 9 ∣

8 ∣ 3 x - 2 ∣ = 0

What is the answer to 5|2(x+5)(x-1)|-3=87 ?
The answer to 5|2(x+5)(x-1)|-3=87 is x=-2-3sqrt(2)\lor x=-2\lor x=-2+3sqrt(2)
Solve for x: 5|2(x+5)(x-1)|-3=87
The solution is x=-2-3sqrt(2)\lor x=-2\lor x=-2+3sqrt(2)