What is the answer to (3x+5)/2+1/x =0 ?

The answer to (3x+5)/2+1/x =0 is x=-2/3 ,x=-1

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(3x+5)/2+1/x =0

\frac{3 x + 5}{2} + \frac{1}{x} = 0

x = - \frac{2}{3}, x = - 1

Decimal Notation

x = - 0.66666 \dots, x = - 1

Solution steps

\frac{3 x + 5}{2} + \frac{1}{x} = 0

Multiply by LCM

x (3 x + 5) + 2 = 0

Solve

x (3 x + 5) + 2 = 0 : x = - \frac{2}{3}, x = - 1

x = - \frac{2}{3}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{3}, x = - 1

\frac{8}{u} - (- 2) = 6

\frac{0.1}{2} = \frac{0.5}{x}

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

\frac{1}{x + 5} = \frac{4}{x - 5}

\frac{x + 1}{x + 2} = \frac{6}{8}

What is the answer to (3x+5)/2+1/x =0 ?
The answer to (3x+5)/2+1/x =0 is x=-2/3 ,x=-1
Solve for x: (3x+5)/2+1/x =0
The solution is x=-2/3 ,x=-1