What is the answer to |6-3x|-6=9 ?

The answer to |6-3x|-6=9 is x=-3\lor x=7

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|6-3x|-6=9

∣ 6 - 3 x ∣ - 6 = 9

x = - 3 or x = 7

Solution steps

∣ 6 - 3 x ∣ - 6 = 9

Move

6

to the right side

∣ 6 - 3 x ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 3 x = - 15 or 6 - 3 x = 15

6 - 3 x = - 15 or 6 - 3 x = 15

x = - 3 or x = 7

\frac{x - 1}{x + 2} > 0

x^{2} + 4 x \leq 0

2 x^{2} + 9 x = 0

5 x^{2} + 9 x - 18 = 0

\frac{π}{8} \cdot 2