What is the answer to (-2)/(9n+14)=6 ?

The answer to (-2)/(9n+14)=6 is n=-43/27

Popular >

(-2)/(9n+14)=6

\frac{- 2}{9 n + 14} = 6

n = - \frac{43}{27}

Decimal Notation

n = - 1.59259 \dots

Solution steps

\frac{- 2}{9 n + 14} = 6

Simplify

\frac{- 2}{9 n + 14} : - \frac{2}{9 n + 14}

- \frac{2}{9 n + 14} = 6

Multiply both sides by

9 n + 14

- 2 = 6 (9 n + 14)

Switch sides

6 (9 n + 14) = - 2

Divide both sides by

6

9 n + 14 = - \frac{1}{3}

Move

14

to the right side

9 n = - \frac{43}{3}

Divide both sides by

9

n = - \frac{43}{27}

Verify Solutions

Find undefined (singularity) points:

n = - \frac{14}{9}

Combine undefined points with solutions:

n = - \frac{43}{27}

2 x - 3 = \frac{3}{10 \cdot ( 5 x - 10 )}

68 = \frac{1}{5 ( 20 x ^{50} ) + 2}

- 2 + \frac{1}{x + 5} = \frac{x}{x + 5}

a, x = \frac{2 a - 1}{3 - a}

l, d = \frac{l}{l - m}