What is the answer to |9+4x|=15 ?

The answer to |9+4x|=15 is x=-6\lor x= 3/2

Solve for x: |9+4x|=15

The solution is x=-6\lor x= 3/2

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∣ 9 + 4 x ∣ = 15

x = - 6 or x = \frac{3}{2}

Decimal

x = - 6, x = 1.5

Solution steps

∣ 9 + 4 x ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 + 4 x = - 15 or 9 + 4 x = 15

9 + 4 x = - 15 or 9 + 4 x = 15

x = - 6 or x = \frac{3}{2}

∣ 2 x - 7 ∣ = 3 x - 10

a ∣ x + 3 ∣ + (5 - a) ∣ x - 3 ∣ - 6 = 0

- 2 ∣ x - 9 ∣ + 33 = - 7 x - 3 + 33

x, 2 ∣ 7 - 4 x ∣ = 12

f, f (∣ x ∣ + 1) = 3 x - 10