What is the answer to 1/(v+6)=4 ?

The answer to 1/(v+6)=4 is v=-23/4

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1/(v+6)=4

\frac{1}{v + 6} = 4

v = - \frac{23}{4}

Decimal Notation

v = - 5.75

Solution steps

\frac{1}{v + 6} = 4

Multiply both sides by

v + 6

1 = 4 (v + 6)

Switch sides

4 (v + 6) = 1

Divide both sides by

4

v + 6 = \frac{1}{4}

Move

6

to the right side

v = - \frac{23}{4}

Verify Solutions

Find undefined (singularity) points:

v = - 6

Combine undefined points with solutions:

v = - \frac{23}{4}

3 = x^{- 1}

\frac{2 x ^{2} + 8 x}{3 x + 12} = - 4

2 - (y - 7)^{- 1} = 6 (y - 7)^{- 2}

18.06 = \frac{x ^{2}}{x + 1}

\frac{- 2}{c} = 2