What is the answer to |(3x+9)/2 |= 2/(3x+5) ?

The answer to |(3x+9)/2 |= 2/(3x+5) is x=(-7+2sqrt(2))/3

Solve for x: |(3x+9)/2 |= 2/(3x+5)

The solution is x=(-7+2sqrt(2))/3

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\frac{3 x + 9}{2} = \frac{2}{3 x + 5}

x = \frac{- 7 + 2 2}{3}

Decimal Notation

x = - 1.39052 \dots

Solution steps

\frac{3 x + 9}{2} = \frac{2}{3 x + 5}

Cross multiply

∣ 3 x + 9 ∣ (3 x + 5) = 4

Solve

∣ 3 x + 9 ∣ (3 x + 5) = 4 : x = \frac{- 7 + 2 2}{3}

x = \frac{- 7 + 2 2}{3}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine undefined points with solutions:

x = \frac{- 7 + 2 2}{3}

\frac{31}{4 x} = 1300000

\frac{4 x ^{2}}{( x - 3 )} = \frac{4 x ^{2}}{( x - 3 )}

x, y^{2} = \frac{x ^{2}}{3 - x}

\frac{5}{x} = 0.758

\frac{1}{4 x ^{2}} = 2 x + 5

What is the answer to |(3x+9)/2 |= 2/(3x+5) ?
The answer to |(3x+9)/2 |= 2/(3x+5) is x=(-7+2sqrt(2))/3
Solve for x: |(3x+9)/2 |= 2/(3x+5)
The solution is x=(-7+2sqrt(2))/3