What is the answer to |x-4|*|x^2-2x|=6-3x ?

The answer to |x-4|*|x^2-2x|=6-3x is x=2-sqrt(7)\lor x=1\lor x=2

Solve for x: |x-4|*|x^2-2x|=6-3x

The solution is x=2-sqrt(7)\lor x=1\lor x=2

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∣ x - 4 ∣ \cdot x^{2} - 2 x = 6 - 3 x

x = 2 - 7 or x = 1 or x = 2

Decimal

x = - 0.64575 \dots, x = 1, x = 2

Solution steps

∣ x - 4 ∣ x^{2} - 2 x = 6 - 3 x

Find positive and negative intervals

x \leq 0, 0 < x < 2, 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

x = 2 - 7 or x = 1 or x = 2 or No Solution

x = 2 - 7 or x = 1 or x = 2

2 x^{2} - 6 x + 8 = 3 x - 9

\frac{x - 1}{4} = 6

3 ∣ 3 x + 12 ∣ = 12 x

6 ∣ 9 x + 4 ∣ + 2 = 8

∣ 2 x + 12 ∣ = 0

What is the answer to |x-4|*|x^2-2x|=6-3x ?
The answer to |x-4|*|x^2-2x|=6-3x is x=2-sqrt(7)\lor x=1\lor x=2
Solve for x: |x-4|*|x^2-2x|=6-3x
The solution is x=2-sqrt(7)\lor x=1\lor x=2