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

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

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

∣ x - 10 ∣ = x^{2} - 10 x

x = - 1 or x = 10

Solution steps

∣ x - 10 ∣ = x^{2} - 10 x

Find positive and negative intervals

x < 10, x \geq 10

Solve the inequality for each interval

x = - 1 or x = 10

5 - 3 ∣ 2 + 2 w ∣ = - 7

∣ 3 - 6 w ∣ = 39

- 6 y + 4 = ∣ 4 y + 12 ∣

2 ∣ - 8 w + 6 ∣ = 76

2 ∣ z + 1 ∣ - 3 = z - 2

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