What is the answer to x^2-6x-|5x-15|-5=0 ?

The answer to x^2-6x-|5x-15|-5=0 is x=-4\lor x=10

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x^2-6x-|5x-15|-5=0

x^{2} - 6 x - ∣ 5 x - 15 ∣ - 5 = 0

x = - 4 or x = 10

Solution steps

x^{2} - 6 x - ∣ 5 x - 15 ∣ - 5 = 0

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 4 or x = 10

∣ x + 8 ∣ = 3.5

3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

∣ x - 2 ∣ + ∣ x ∣ = x^{2} - 2 x

x + 2 = 3

What is the answer to x^2-6x-|5x-15|-5=0 ?
The answer to x^2-6x-|5x-15|-5=0 is x=-4\lor x=10
Solve for x: x^2-6x-|5x-15|-5=0
The solution is x=-4\lor x=10