What is the answer to x=(3x+28)/x ?

The answer to x=(3x+28)/x is x=7,x=-4

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x=(3x+28)/x

x = \frac{3 x + 28}{x}

x = 7, x = - 4

Solution steps

x = \frac{3 x + 28}{x}

Multiply both sides by

x

x^{2} = 3 x + 28

Solve

x^{2} = 3 x + 28 : x = 7, x = - 4

x = 7, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7, x = - 4

15 x^{- 2} - 4 x^{- 1} = 3

\frac{2}{9} = \frac{x - 10}{20 - 5 x}

y, x = \frac{y + 1}{y}

\frac{3 x - 1}{x - 6} = 0

\frac{21}{x} = \frac{6}{2}