What is the answer to 3-1/x =-4x ?

The answer to 3-1/x =-4x is x=-1,x= 1/4

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3-1/x =-4x

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

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

Decimal Notation

x = - 1, x = 0.25

Solution steps

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

Multiply both sides by

x

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{15}{4} = \frac{9}{2 r}

\frac{12 - 4}{5 ( x + 15 )} = 8

\frac{1 - 2 x}{x + 7} = \frac{x}{x - 1}

4 - \frac{5}{y} = \frac{7}{y}

\frac{399}{2 - 4 x} = 694