What is the answer to 0=2+1/(x+4) ?

The answer to 0=2+1/(x+4) is x=-9/2

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0=2+1/(x+4)

0 = 2 + \frac{1}{x + 4}

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

0 = 2 + \frac{1}{x + 4}

Move

2

to the left side

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

Multiply both sides by

x + 4

- 2 (x + 4) = 1

Divide both sides by

- 2

x + 4 = - \frac{1}{2}

Move

4

to the right side

x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{9}{2}

- \frac{15}{24} = \frac{12}{x}

2 \frac{84100}{y} + 3 y = 35000

\frac{1}{3} = \frac{5}{b} - 3

2 g (a) = \frac{5 x}{x ^{2} - 9}

x - \frac{6}{x} = 5