What is the answer to 2|4z+9|=14 ?

The answer to 2|4z+9|=14 is z=-4\lor z=-1/2

Solve for z: 2|4z+9|=14

The solution is z=-4\lor z=-1/2

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2 ∣ 4 z + 9 ∣ = 14

z = - 4 or z = - \frac{1}{2}

Decimal Notation

z = - 4, z = - 0.5

Solution steps

2 ∣ 4 z + 9 ∣ = 14

Divide both sides by

2

∣ 4 z + 9 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 z + 9 = - 7 or 4 z + 9 = 7

4 z + 9 = - 7 or 4 z + 9 = 7

z = - 4 or z = - \frac{1}{2}

2 u^{3} + 3 u^{2} - 2 u

5 x + 5 \leq 3 x + 4

\frac{2 ( x + 1 )}{3} - \frac{1 - x}{5} = x + \frac{3}{10}

8 \leq \frac{3 x + 1}{2} < 17

- 2 x^{2} - 5 x + 42 \leq 0