What is the answer to 4+1/(4a)=1 ?

The answer to 4+1/(4a)=1 is a=-1/12

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4+1/(4a)=1

4 + \frac{1}{4 a} = 1

a = - \frac{1}{12}

Decimal Notation

a = - 0.08333 \dots

Solution steps

4 + \frac{1}{4 a} = 1

Move

4

to the right side

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

Multiply both sides by

a

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

Switch sides

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

Divide both sides by

- 3

a = - \frac{1}{12}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{1}{12}

\frac{1}{5 x} = 10

\frac{12}{2 x} = \frac{x}{24}

\frac{6}{x} = \frac{7}{4}

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

0.26607 = 1 - \frac{70}{x}