What is the answer to 3/(x+4)=-19 ?

The answer to 3/(x+4)=-19 is x=-79/19

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3/(x+4)=-19

\frac{3}{x + 4} = - 19

x = - \frac{79}{19}

Decimal Notation

x = - 4.15789 \dots

Solution steps

\frac{3}{x + 4} = - 19

Multiply both sides by

x + 4

3 = - 19 (x + 4)

Switch sides

- 19 (x + 4) = 3

Divide both sides by

- 19

x + 4 = - \frac{3}{19}

Move

4

to the right side

x = - \frac{79}{19}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{79}{19}

\frac{35}{x} = 7

\frac{6}{x} + \frac{3}{x + 2} = 2

\frac{3}{4 x} = \frac{5}{6}

z^{5} + 8 \cdot z^{- 1} = 0

z = \frac{1}{z}