What is the answer to |(2x+1)/(3x+4)|=1 ?

The answer to |(2x+1)/(3x+4)|=1 is x=-3,x=-1

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|(2x+1)/(3x+4)|=1

\frac{2 x + 1}{3 x + 4} = 1

x = - 3, x = - 1

Solution steps

\frac{2 x + 1}{3 x + 4} = 1

Simplify

\frac{2 x + 1}{3 x + 4} : \frac{∣ 2 x + 1 ∣}{∣ 3 x + 4 ∣}

\frac{∣ 2 x + 1 ∣}{∣ 3 x + 4 ∣} = 1

Multiply both sides by

∣ 3 x + 4 ∣

∣ 2 x + 1 ∣ = ∣ 3 x + 4 ∣

Solve

∣ 2 x + 1 ∣ = ∣ 3 x + 4 ∣ : x = - 3 or x = - 1

x = - 3, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - 3, x = - 1

2 x + 6 = 3 x

15 x^{4} y^{3} z^{2} - 25 x^{5} y^{2} z + 30 x^{2} y^{2} z

x^{9} - 125 y^{3} z^{6}

3 (3 w - 5) = 12

\frac{k}{- 12} \leq - 7

What is the answer to |(2x+1)/(3x+4)|=1 ?
The answer to |(2x+1)/(3x+4)|=1 is x=-3,x=-1
Solve for x: |(2x+1)/(3x+4)|=1
The solution is x=-3,x=-1