What is the answer to 4/x+5/(x+3)=3 ?

The answer to 4/x+5/(x+3)=3 is x=2,x=-2

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4/x+5/(x+3)=3

\frac{4}{x} + \frac{5}{x + 3} = 3

x = 2, x = - 2

Solution steps

\frac{4}{x} + \frac{5}{x + 3} = 3

Multiply by LCM

4 (x + 3) + 5 x = 3 x (x + 3)

Solve

4 (x + 3) + 5 x = 3 x (x + 3) : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = 2, x = - 2

0 = 2 x - 1 - \frac{1}{x}

x, \frac{w}{k x} = y

\frac{6}{x + 5} = - 5

\frac{5}{x ^{2}} - \frac{10}{x} + 2 = 0

\frac{1}{x - 1} + 1 = - \frac{7 x}{x - 1}