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

The answer to 1/(4x-4)=4 is x= 17/16

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1/(4x-4)=4

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

x = \frac{17}{16}

Decimal Notation

x = 1.0625

Solution steps

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

Multiply both sides by

4 x - 4

1 = 4 (4 x - 4)

Switch sides

4 (4 x - 4) = 1

Divide both sides by

4

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

Move

4

to the right side

4 x = \frac{17}{4}

Divide both sides by

4

x = \frac{17}{16}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{17}{16}

(\frac{x ^{2} + 1}{x ^{2}}) - 4 (\frac{x - 1}{x}) - 14 = 0

f (n) = \frac{w ^{n + 1}}{w ^{2 n}}

\frac{x ^{2} - 1}{2 x - 4} = 0

\frac{( ( 2 n - 1 ) ! )}{( ( 2 n - 3 ) ! )} = 120

(\frac{x + 1}{x})^{2} + 5 (\frac{x + 1}{x}) + 4 = 0