What is the answer to 1-4/(x+9)= 7/x ?

The answer to 1-4/(x+9)= 7/x is x=9,x=-7

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1-4/(x+9)= 7/x

1 - \frac{4}{x + 9} = \frac{7}{x}

x = 9, x = - 7

Solution steps

1 - \frac{4}{x + 9} = \frac{7}{x}

Multiply by LCM

x (x + 9) - 4 x = 7 (x + 9)

Solve

x (x + 9) - 4 x = 7 (x + 9) : x = 9, x = - 7

x = 9, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = 0

Combine undefined points with solutions:

x = 9, x = - 7

\frac{3 x - 2}{4 x + 7} = 64

\frac{25}{x} \cdot 1 = 0.2

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

\frac{x}{3 + 99 x} = 297

\frac{12}{x} = - 5