What is the answer to (24)/(2x)=1+x ?

The answer to (24)/(2x)=1+x is x=3,x=-4

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(24)/(2x)=1+x

\frac{24}{2 x} = 1 + x

x = 3, x = - 4

Solution steps

\frac{24}{2 x} = 1 + x

Simplify

\frac{24}{2 x} : \frac{12}{x}

\frac{12}{x} = 1 + x

Multiply both sides by

x

12 = x + x^{2}

Solve

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

x = 3, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 4

\frac{5 - x}{x + 1} = \frac{6}{2}

(x + 4)^{- 1} = x^{- 1} + x

\frac{1}{10} = \frac{18.5}{x}

\frac{1}{2 x} = - 18

\frac{x + 1}{5} = \frac{7}{x - 1}