What is the answer to (2x}{x+3}=\frac{25)/x ?

The answer to (2x}{x+3}=\frac{25)/x is x=15,x=-5/2

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(2x}{x+3}=\frac{25)/x

\frac{2 x}{x + 3} = \frac{25}{x}

x = 15, x = - \frac{5}{2}

Decimal Notation

x = 15, x = - 2.5

Solution steps

\frac{2 x}{x + 3} = \frac{25}{x}

Cross multiply

2 x^{2} = (x + 3) \cdot 25

Solve

2 x^{2} = (x + 3) \cdot 25 : x = 15, x = - \frac{5}{2}

x = 15, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

x = 15, x = - \frac{5}{2}

\frac{3}{5 ( x - 10 )} = 18 - 4 x - 1

6 x - \frac{3}{x} = 0

\frac{x - 2}{x + 3} = \frac{3}{4}

\frac{14}{x} = 79

\frac{8}{5} = \frac{6}{a}

What is the answer to (2x}{x+3}=\frac{25)/x ?
The answer to (2x}{x+3}=\frac{25)/x is x=15,x=-5/2
Solve for x: (2x}{x+3}=\frac{25)/x
The solution is x=15,x=-5/2