What is the answer to a/(ax)=x ?

The answer to a/(ax)=x is x=1,x=-1

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a/(ax)=x

\frac{a}{a x} = x

x = 1, x = - 1

Solution steps

\frac{a}{a x} = x

Simplify

\frac{a}{a x} : \frac{1}{x}

\frac{1}{x} = x

Multiply both sides by

x

1 = x^{2}

Solve

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

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 1

\frac{2}{10} = \frac{8}{n - 7}

\frac{1}{3 x + 4} = \frac{2}{x + 8}

\frac{36}{x} = 6

\frac{- x ^{3} + 40 x}{x ^{2} - 7} = 2 x

(m + 2) (\frac{1}{m} + 2) = 10