What is the answer to 1-5/x =-4x ?

The answer to 1-5/x =-4x is x=-5/4 ,x=1

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1-5/x =-4x

1 - \frac{5}{x} = - 4 x

x = - \frac{5}{4}, x = 1

Decimal Notation

x = - 1.25, x = 1

Solution steps

1 - \frac{5}{x} = - 4 x

Multiply both sides by

x

x - 5 = - 4 x^{2}

Solve

x - 5 = - 4 x^{2} : x = - \frac{5}{4}, x = 1

x = - \frac{5}{4}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{4}, x = 1

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

\frac{8.4}{4.8} = \frac{6.3}{k}

\frac{1}{t ^{2}} - 16 = 0

\frac{1}{x - 1} + \frac{2}{x ^{2}} = 0

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