What is the answer to |2x+1|=x+1 ?

The answer to |2x+1|=x+1 is x=-2/3 \lor x=0

Solve for x: |2x+1|=x+1

The solution is x=-2/3 \lor x=0

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∣ 2 x + 1 ∣ = x + 1

x = - \frac{2}{3} or x = 0

Decimal Notation

x = - 0.66666 \dots, x = 0

Solution steps

∣ 2 x + 1 ∣ = x + 1

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

x = - \frac{2}{3} or x = 0

9 = 3 ∣ p ∣

9 - x^{2} + 1 = 0

4 - ∣ 3 x + 1 ∣ = 5

∣ 4 x - 8 ∣ = 14

x, 5 ∣ x ∣ + y = 4