What is the answer to x-7=(30)/x ?

The answer to x-7=(30)/x is x=10,x=-3

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x-7=(30)/x

x - 7 = \frac{30}{x}

x = 10, x = - 3

Solution steps

x - 7 = \frac{30}{x}

Multiply both sides by

x

x^{2} - 7 x = 30

Solve

x^{2} - 7 x = 30 : x = 10, x = - 3

x = 10, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 10, x = - 3

2 x^{- 2} - 7 x^{- 1} - 4 = 0

(\frac{15}{x + 3}) 7 - 9 x = 0

\frac{22}{x} = 0

x^{- 2} + 6 x^{- 1} + 2 = 0

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