What is the answer to |9-12x|=45 ?

The answer to |9-12x|=45 is x=-3\lor x= 9/2

Solve for x: |9-12x|=45

The solution is x=-3\lor x= 9/2

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∣ 9 - 12 x ∣ = 45

x = - 3 or x = \frac{9}{2}

Solution steps

∣ 9 - 12 x ∣ = 45

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 12 x = - 45 or 9 - 12 x = 45

9 - 12 x = - 45 or 9 - 12 x = 45

x = - 3 or x = \frac{9}{2}

x^{2} + 2 x - 10 = ∣ x + 2 ∣ + 6

∣ r - 80 ∣ = 1

∣ z ∣ = a

∣ z + 3 ∣ = 5

∣ x ∣ + 6 = - 4