What is the answer to x= 4/x-3 ?

The answer to x= 4/x-3 is x=1,x=-4

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x= 4/x-3

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

x = 1, x = - 4

Solution steps

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

Multiply both sides by

x

x^{2} = 4 - 3 x

Solve

x^{2} = 4 - 3 x : x = 1, x = - 4

x = 1, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 4

x + \frac{5}{x - 4} = 2 x

1 0^{3} = \frac{I}{I ^{0}}

\frac{x + 4}{12} - \frac{8 - x}{x} = 1

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

- \frac{3}{5 x} + \frac{3}{35 x} = 18