What is the answer to x/(3x+8)= 2/x ?

The answer to x/(3x+8)= 2/x is x=8,x=-2

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x/(3x+8)= 2/x

\frac{x}{3 x + 8} = \frac{2}{x}

x = 8, x = - 2

Solution steps

\frac{x}{3 x + 8} = \frac{2}{x}

Cross multiply

x^{2} = (3 x + 8) \cdot 2

Solve

x^{2} = (3 x + 8) \cdot 2 : x = 8, x = - 2

x = 8, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - \frac{8}{3}, x = 0

Combine undefined points with solutions:

x = 8, x = - 2

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

2 = \frac{2 y}{y + 1} - \frac{3}{2 y}

\frac{6}{x ( 1 + 2 )} = 1

\frac{4 a}{x} + 6 = \frac{3 b}{x} + 2

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