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

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

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1-4/x =-3x

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

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

Decimal Notation

x = - 1.33333 \dots, x = 1

Solution steps

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

Multiply both sides by

x

x - 4 = - 3 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

x + \frac{15}{x} = 8

y, x = \frac{1}{y + 3}

\frac{4 r - 6}{r - 7} = \frac{1}{2}

\frac{x ^{2} - 4}{x + 2} = 7 x

\frac{a x + b}{c x + d} = 4