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

The answer to |((x+4))/((x+2))|=3 is x=-5/2 ,x=-1

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

\frac{( x + 4 )}{( x + 2 )} = 3

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

Decimal Notation

x = - 2.5, x = - 1

Solution steps

\frac{( x + 4 )}{( x + 2 )} = 3

Simplify

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

\frac{∣ x + 4 ∣}{∣ x + 2 ∣} = 3

Multiply both sides by

∣ x + 2 ∣

∣ x + 4 ∣ = 3 ∣ x + 2 ∣

Solve

∣ x + 4 ∣ = 3 ∣ x + 2 ∣ : x = - \frac{5}{2} or x = - 1

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

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

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

\frac{y ^{2} - 5}{3 y} = \frac{- 1}{3}

\frac{13 y ^{2} + 12}{y ^{2}} = 44

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

\frac{x ^{3} + 3 x}{3 x ^{2} + 1} = \frac{91}{37}

(\frac{1}{3 \cdot 2 x})^{4} = \frac{1}{16}

What is the answer to |((x+4))/((x+2))|=3 ?
The answer to |((x+4))/((x+2))|=3 is x=-5/2 ,x=-1
Solve for x: |((x+4))/((x+2))|=3
The solution is x=-5/2 ,x=-1