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

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

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-4-1/x =-5x

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

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

Decimal Notation

x = - 0.2, x = 1

Solution steps

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

Multiply both sides by

x

- 4 x - 1 = - 5 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

a, z = - 3 b + \frac{8}{3 a}

0.23 = \frac{2 π}{x}

\frac{3}{4 x} = \frac{1}{x - 2}

\frac{x}{x - 5} = 3 + \frac{5}{x - 5}

0 = \frac{8 ( 2 x - 5 )}{( x + 2 ) ^{4}}