What is the answer to (3x+5)^2=(-1)/(9x+15) ?

The answer to (3x+5)^2=(-1)/(9x+15) is x\approx-1.89778…

Solve for x: (3x+5)^2=(-1)/(9x+15)

The solution is x\approx-1.89778…

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(3 x + 5)^{2} = \frac{- 1}{9 x + 15}

x \approx - 1.89778 \dots

Solution steps

(3 x + 5)^{2} = \frac{- 1}{9 x + 15}

Simplify

\frac{- 1}{9 x + 15} : - \frac{1}{9 x + 15}

(3 x + 5)^{2} = - \frac{1}{9 x + 15}

Multiply both sides by

9 x + 15

(3 x + 5)^{2} (9 x + 15) = - 1

Solve

(3 x + 5)^{2} (9 x + 15) = - 1 : x \approx - 1.89778 \dots

x \approx - 1.89778 \dots

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine undefined points with solutions:

x \approx - 1.89778 \dots

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

\frac{1}{x} = \frac{7}{300}

\frac{8}{x} = \frac{x}{6}

\frac{x + 5}{x} = e^{3}

\frac{3}{5 x} = 9

What is the answer to (3x+5)^2=(-1)/(9x+15) ?
The answer to (3x+5)^2=(-1)/(9x+15) is x\approx-1.89778…
Solve for x: (3x+5)^2=(-1)/(9x+15)
The solution is x\approx-1.89778…