What is the answer to |4x+6|=4 ?

The answer to |4x+6|=4 is x=-5/2 \lor x=-1/2

Solve for x: |4x+6|=4

The solution is x=-5/2 \lor x=-1/2

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∣ 4 x + 6 ∣ = 4

x = - \frac{5}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 2.5, x = - 0.5

Solution steps

∣ 4 x + 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 6 = - 4 or 4 x + 6 = 4

4 x + 6 = - 4 or 4 x + 6 = 4

x = - \frac{5}{2} or x = - \frac{1}{2}

2 4^{2} + 7^{2} = x^{2}

- \frac{5}{3} + 1

18 x^{2} y - 2 y

80 + x^{2} = 18 x

2 < \frac{4 - x}{3} < 6